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125532420 = 223513179467
BaseRepresentation
bin1110111101101…
…11100100000100
322202012201002220
413132313210010
5224114014140
620242332340
73053002506
oct736674404
9282181086
10125532420
1164950402
123605a0b0
1320013150
1412959d76
15b049bd0
hex77b7904

125532420 has 96 divisors (see below), whose sum is σ = 400837248. Its totient is φ = 29079552.

The previous prime is 125532419. The next prime is 125532427. The reversal of 125532420 is 24235521.

It is not an unprimeable number, because it can be changed into a prime (125532427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8527 + ... + 17993.

It is an arithmetic number, because the mean of its divisors is an integer number (4175388).

Almost surely, 2125532420 is an apocalyptic number.

125532420 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 125532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200418624).

125532420 is an abundant number, since it is smaller than the sum of its proper divisors (275304828).

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

125532420 is a wasteful number, since it uses less digits than its factorization.

125532420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 125532420 is about 11204.1251331820. The cubic root of 125532420 is about 500.7088878145.

Adding to 125532420 its reverse (24235521), we get a palindrome (149767941).

The spelling of 125532420 in words is "one hundred twenty-five million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 9467 13260 18934 28401 37868 47335 56802 94670 113604 123071 142005 160939 189340 246142 284010 321878 369213 482817 492284 568020 615355 643756 738426 804695 965634 1230710 1476852 1609390 1846065 1931268 2092207 2414085 2461420 3218780 3692130 4184414 4828170 6276621 7384260 8368828 9656340 10461035 12553242 20922070 25106484 31383105 41844140 62766210 125532420