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1070402040 = 233451013271
BaseRepresentation
bin111111110011010…
…000100111111000
32202121011001120000
4333303100213320
54143010331130
6254114233000
735345160441
oct7763204770
92677131500
101070402040
114aa239994
1225a585760
131409b99b6
14a22362c8
1563e8b260
hex3fcd09f8

1070402040 has 160 divisors (see below), whose sum is σ = 3634472160. Its totient is φ = 282528000.

The previous prime is 1070402027. The next prime is 1070402051. The reversal of 1070402040 is 402040701.

It is a happy number.

It is a super-2 number, since 2×10704020402 = 2291521054472323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325605 + ... + 328875.

It is an arithmetic number, because the mean of its divisors is an integer number (22715451).

Almost surely, 21070402040 is an apocalyptic number.

1070402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817236080).

1070402040 is an abundant number, since it is smaller than the sum of its proper divisors (2564070120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1070402040 is a wasteful number, since it uses less digits than its factorization.

1070402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1070402040 is about 32716.9992511538. Note that the first 3 decimals coincide. The cubic root of 1070402040 is about 1022.9372085882.

Adding to 1070402040 its reverse (402040701), we get a palindrome (1472442741).

The spelling of 1070402040 in words is "one billion, seventy million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1515 1620 1818 2020 2424 2727 3030 3240 3271 3636 4040 4545 5454 6060 6542 7272 8181 9090 9813 10908 12120 13084 13635 16355 16362 18180 19626 21816 26168 27270 29439 32710 32724 36360 39252 40905 49065 54540 58878 65420 65448 78504 81810 88317 98130 109080 117756 130840 147195 163620 176634 196260 235512 264951 294390 327240 330371 353268 392520 441585 529902 588780 660742 706536 883170 991113 1059804 1177560 1321484 1324755 1651855 1766340 1982226 2119608 2642968 2649510 2973339 3303710 3532680 3964452 4955565 5299020 5946678 6607420 7928904 8920017 9911130 10598040 11893356 13214840 14866695 17840034 19822260 23786712 26760051 29733390 35680068 39644520 44600085 53520102 59466780 71360136 89200170 107040204 118933560 133800255 178400340 214080408 267600510 356800680 535201020 1070402040