Search a number
-
+
70065270 = 23351131761
BaseRepresentation
bin1000010110100…
…01110001110110
311212211200111000
410023101301312
5120414042040
610541424130
71510354632
oct413216166
9155750430
1070065270
1136606090
121b56b046
1311692452
14943bdc2
156240130
hex42d1c76

70065270 has 128 divisors (see below), whose sum is σ = 210677760. Its totient is φ = 16416000.

The previous prime is 70065253. The next prime is 70065277. The reversal of 70065270 is 7256007.

70065270 is a `hidden beast` number, since 7 + 0 + 0 + 652 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70065277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91690 + ... + 92450.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 270065270 is an apocalyptic number.

It is a pronic number, being equal to 8370×8371.

It is a practical number, because each smaller number is the sum of distinct divisors of 70065270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

70065270 is an abundant number, since it is smaller than the sum of its proper divisors (140612490).

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

70065270 is a wasteful number, since it uses less digits than its factorization.

70065270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 70065270 is about 8370.4999850666. The cubic root of 70065270 is about 412.2565836609.

The spelling of 70065270 in words is "seventy million, sixty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 761 837 930 990 1023 1395 1485 1522 1674 1705 2046 2283 2790 2970 3069 3410 3805 4185 4566 5115 6138 6849 7610 8370 8371 9207 10230 11415 13698 15345 16742 18414 20547 22830 23591 25113 30690 34245 41094 41855 46035 47182 50226 68490 70773 75339 83710 92070 102735 117955 125565 141546 150678 205470 212319 226017 235910 251130 259501 353865 376695 424638 452034 519002 636957 707730 753390 778503 1061595 1130085 1273914 1297505 1557006 2123190 2260170 2335509 2595010 3184785 3892515 4671018 6369570 7006527 7785030 11677545 14013054 23355090 35032635 70065270