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125451320 = 23571163271
BaseRepresentation
bin1110111101000…
…11110000111000
322202001120212012
413132203300320
5224103420240
620240505052
73052214201
oct736436070
9282046765
10125451320
11648a5485
123601b188
131ccb5267
14129385a8
15b030b65
hex77a3c38

125451320 has 64 divisors (see below), whose sum is σ = 289059840. Its totient is φ = 48988800.

The previous prime is 125451307. The next prime is 125451329. The reversal of 125451320 is 23154521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125451329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462785 + ... + 463055.

It is an arithmetic number, because the mean of its divisors is an integer number (4516560).

Almost surely, 2125451320 is an apocalyptic number.

125451320 is a gapful number since it is divisible by the number (10) 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 125451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

125451320 is an abundant number, since it is smaller than the sum of its proper divisors (163608520).

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

125451320 is a wasteful number, since it uses less digits than its factorization.

125451320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 125451320 is about 11200.5053457422. The cubic root of 125451320 is about 500.6010372190.

The spelling of 125451320 in words is "one hundred twenty-five million, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 163 271 284 326 355 542 568 652 710 815 1084 1304 1355 1420 1630 2168 2710 2840 3260 5420 6520 10840 11573 19241 23146 38482 44173 46292 57865 76964 88346 92584 96205 115730 153928 176692 192410 220865 231460 353384 384820 441730 462920 769640 883460 1766920 3136283 6272566 12545132 15681415 25090264 31362830 62725660 125451320