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70068432 = 24372313
BaseRepresentation
bin1000010110100…
…10100011010000
311212211211211010
410023102203100
5120414142212
610541450520
71510400100
oct413224320
9155754733
1070068432
11366084a5
121b570a40
1311693a15
14943d200
15624103c
hex42d28d0

70068432 has 120 divisors (see below), whose sum is σ = 217581312. Its totient is φ = 19373760.

The previous prime is 70068421. The next prime is 70068433. The reversal of 70068432 is 23486007.

It is a self number, because there is not a number n which added to its sum of digits gives 70068432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70068433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260257 + ... + 2260287.

Almost surely, 270068432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108790656).

70068432 is an abundant number, since it is smaller than the sum of its proper divisors (147512880).

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

70068432 is an equidigital number, since it uses as much as digits as its factorization.

70068432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 70068432 is about 8370.6888605419. The cubic root of 70068432 is about 412.2627851914.

It can be divided in two parts, 70068 and 432, that added together give a triangular number (70500 = T375).

The spelling of 70068432 in words is "seventy million, sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 961 1176 1302 1488 1519 1736 1922 2352 2604 2883 3038 3472 3844 4557 5208 5766 6076 6727 7688 9114 10416 11532 12152 13454 15376 18228 20181 23064 24304 26908 29791 36456 40362 46128 47089 53816 59582 72912 80724 89373 94178 107632 119164 141267 161448 178746 188356 208537 238328 282534 322896 357492 376712 417074 476656 565068 625611 714984 753424 834148 1130136 1251222 1429968 1459759 1668296 2260272 2502444 2919518 3336592 4379277 5004888 5839036 8758554 10009776 11678072 17517108 23356144 35034216 70068432