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126972696 = 23323273137
BaseRepresentation
bin1111001000101…
…11001100011000
322211220212210110
413210113030120
5230001111241
620333244320
73101151534
oct744271430
9284825713
10126972696
1165744514
12366336a0
13203c8896
1412c12bc4
15b231816
hex7917318

126972696 has 96 divisors (see below), whose sum is σ = 338834160. Its totient is φ = 39638016.

The previous prime is 126972691. The next prime is 126972697. The reversal of 126972696 is 696279621.

It is a super-2 number, since 2×1269726962 = 32244131059016832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126972691) 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 23 ways as a sum of consecutive naturals, for example, 926740 + ... + 926876.

Almost surely, 2126972696 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 126972696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169417080).

126972696 is an abundant number, since it is smaller than the sum of its proper divisors (211861464).

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

126972696 is a wasteful number, since it uses less digits than its factorization.

126972696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 126972696 is about 11268.2161853596. The cubic root of 126972696 is about 502.6165448347.

The spelling of 126972696 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 137 138 146 184 219 274 276 292 411 438 529 548 552 584 822 876 1058 1096 1587 1644 1679 1752 2116 3151 3174 3288 3358 4232 5037 6302 6348 6716 9453 10001 10074 12604 12696 13432 18906 20002 20148 25208 30003 37812 38617 40004 40296 60006 72473 75624 77234 80008 115851 120012 144946 154468 217419 230023 231702 240024 289892 308936 434838 460046 463404 579784 690069 869676 920092 926808 1380138 1739352 1840184 2760276 5290529 5520552 10581058 15871587 21162116 31743174 42324232 63486348 126972696