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125606772 = 223223295231
BaseRepresentation
bin1110111110010…
…01101101110100
322202100111002200
413133021231310
5224123404042
620244104500
73053432334
oct737115564
9282314080
10125606772
11649a1255
1236095130
132003ac45
14129790c4
15b061c4c
hex77c9b74

125606772 has 72 divisors (see below), whose sum is σ = 342800640. Its totient is φ = 38660160.

The previous prime is 125606771. The next prime is 125606773. The reversal of 125606772 is 277606521.

It is an interprime number because it is at equal distance from previous prime (125606771) and next prime (125606773).

It is a super-2 number, since 2×1256067722 = 31554122344519968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125606771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21397 + ... + 26627.

It is an arithmetic number, because the mean of its divisors is an integer number (4761120).

Almost surely, 2125606772 is an apocalyptic number.

125606772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125606772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171400320).

125606772 is an abundant number, since it is smaller than the sum of its proper divisors (217193868).

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

125606772 is a wasteful number, since it uses less digits than its factorization.

125606772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 125606772 is about 11207.4427056309. The cubic root of 125606772 is about 500.8077237952.

The spelling of 125606772 in words is "one hundred twenty-five million, six hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 5231 6003 8004 10462 12006 15693 20924 24012 31386 47079 62772 94158 120313 151699 188316 240626 303398 360939 455097 481252 606796 721878 910194 1082817 1365291 1443756 1820388 2165634 2730582 3489077 4331268 5461164 6978154 10467231 13956308 20934462 31401693 41868924 62803386 125606772