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126231664 = 241317291231
BaseRepresentation
bin1111000011000…
…10010001110000
322210112020021211
413201202101300
5224303403124
620305325504
73061644226
oct741422160
9283466254
10126231664
1165288799
1236336894
13201c94c0
1412a9cb16
15b136e94
hex7862470

126231664 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 52899840.

The previous prime is 126231653. The next prime is 126231683. The reversal of 126231664 is 466132621.

It is a congruent number.

It is an unprimeable number.

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, 101929 + ... + 103159.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2126231664 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 126231664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

126231664 is an abundant number, since it is smaller than the sum of its proper divisors (162499856).

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

126231664 is a wasteful number, since it uses less digits than its factorization.

126231664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 126231664 is about 11235.2865562032. The cubic root of 126231664 is about 501.6368542356.

The spelling of 126231664 in words is "one hundred twenty-six million, two hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 29 34 52 58 68 104 116 136 208 221 232 272 377 442 464 493 754 884 986 1231 1508 1768 1972 2462 3016 3536 3944 4924 6032 6409 7888 9848 12818 16003 19696 20927 25636 32006 35699 41854 51272 64012 71398 83708 102544 128024 142796 167416 256048 272051 285592 334832 464087 544102 571184 606883 928174 1088204 1213766 1856348 2176408 2427532 3712696 4352816 4855064 7425392 7889479 9710128 15778958 31557916 63115832 126231664