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1071423240 = 2335311491933
BaseRepresentation
bin111111110111001…
…001111100001000
32202200001221101020
4333313021330020
54143241020430
6254152152440
735356642626
oct7767117410
92680057336
101071423240
114aa877158
1225a998720
13140c86764
14a2420516
15640ddb10
hex3fdc9f08

1071423240 has 128 divisors (see below), whose sum is σ = 3341952000. Its totient is φ = 274498560.

The previous prime is 1071423211. The next prime is 1071423257. The reversal of 1071423240 is 423241701.

It is a happy number.

It is a super-2 number, since 2×10714232402 = 2295895518424195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1071423240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553314 + ... + 555246.

It is an arithmetic number, because the mean of its divisors is an integer number (26109000).

Almost surely, 21071423240 is an apocalyptic number.

1071423240 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 1071423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670976000).

1071423240 is an abundant number, since it is smaller than the sum of its proper divisors (2270528760).

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

1071423240 is a wasteful number, since it uses less digits than its factorization.

1071423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1071423240 is about 32732.6020963809. The cubic root of 1071423240 is about 1023.2624108369.

Adding to 1071423240 its reverse (423241701), we get a palindrome (1494664941).

The spelling of 1071423240 in words is "one billion, seventy-one million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 149 155 186 248 298 310 372 447 465 596 620 744 745 894 930 1192 1240 1490 1788 1860 1933 2235 2980 3576 3720 3866 4470 4619 5799 5960 7732 8940 9238 9665 11598 13857 15464 17880 18476 19330 23095 23196 27714 28995 36952 38660 46190 46392 55428 57990 59923 69285 77320 92380 110856 115980 119846 138570 179769 184760 231960 239692 277140 288017 299615 359538 479384 554280 576034 599230 719076 864051 898845 1152068 1198460 1438152 1440085 1728102 1797690 2304136 2396920 2880170 3456204 3595380 4320255 5760340 6912408 7190760 8640510 8928527 11520680 17281020 17857054 26785581 34562040 35714108 44642635 53571162 71428216 89285270 107142324 133927905 178570540 214284648 267855810 357141080 535711620 1071423240