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125917104 = 243191011367
BaseRepresentation
bin1111000000101…
…01011110110000
322202221020210110
413200111132300
5224213321404
620254501320
73056164155
oct740253660
9282836713
10125917104
1165093425
1236204840
1320119281
1412a1a22c
15b0c3b89
hex78157b0

125917104 has 80 divisors (see below), whose sum is σ = 346049280. Its totient is φ = 39340800.

The previous prime is 125917067. The next prime is 125917117. The reversal of 125917104 is 401719521.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91429 + ... + 92795.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2125917104 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 125917104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024640).

125917104 is an abundant number, since it is smaller than the sum of its proper divisors (220132176).

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

125917104 is a wasteful number, since it uses less digits than its factorization.

125917104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 125917104 is about 11221.2790714784. The cubic root of 125917104 is about 501.2198269576.

The spelling of 125917104 in words is "one hundred twenty-five million, nine hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 101 114 152 202 228 303 304 404 456 606 808 912 1212 1367 1616 1919 2424 2734 3838 4101 4848 5468 5757 7676 8202 10936 11514 15352 16404 21872 23028 25973 30704 32808 46056 51946 65616 77919 92112 103892 138067 155838 207784 276134 311676 414201 415568 552268 623352 828402 1104536 1246704 1656804 2209072 2623273 3313608 5246546 6627216 7869819 10493092 15739638 20986184 31479276 41972368 62958552 125917104