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70706944 = 2871117211
BaseRepresentation
bin1000011011011…
…10011100000000
311221001021200201
410031232130000
5121100110234
611003254544
71515666460
oct415563400
9157037621
1070706944
1136a041a0
121b81a454
1311858539
149567ba0
15631a314
hex436e700

70706944 has 144 divisors (see below), whose sum is σ = 187197696. Its totient is φ = 25804800.

The previous prime is 70706903. The next prime is 70706947. The reversal of 70706944 is 44960707.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70706947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334999 + ... + 335209.

It is an arithmetic number, because the mean of its divisors is an integer number (1299984).

Almost surely, 270706944 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 70706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93598848).

70706944 is an abundant number, since it is smaller than the sum of its proper divisors (116490752).

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

70706944 is a wasteful number, since it uses less digits than its factorization.

70706944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 70706944 is about 8408.7421175822. The cubic root of 70706944 is about 413.5112749858.

The spelling of 70706944 in words is "seventy million, seven hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 211 224 238 256 272 308 352 374 422 448 476 544 616 704 748 844 896 952 1088 1232 1309 1408 1477 1496 1688 1792 1904 2176 2321 2464 2618 2816 2954 2992 3376 3587 3808 4352 4642 4928 5236 5908 5984 6752 7174 7616 9284 9856 10472 11816 11968 13504 14348 15232 16247 18568 19712 20944 23632 23936 25109 27008 28696 30464 32494 37136 39457 41888 47264 47872 50218 54016 57392 64988 74272 78914 83776 94528 100436 114784 129976 148544 157828 167552 189056 200872 229568 259952 276199 297088 315656 335104 378112 401744 459136 519904 552398 594176 631312 803488 918272 1039808 1104796 1262624 1606976 2079616 2209592 2525248 3213952 4159232 4419184 5050496 6427904 8838368 10100992 17676736 35353472 70706944