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1325255140 = 2251173179461
BaseRepresentation
bin100111011111101…
…1100100111100100
310102100200221021201
41032333130213210
510203231131030
6335300452244
744561324416
oct11677344744
93370627251
101325255140
11620087890
1230b9aa084
1318173b351
14c80169b6
157b52d2ca
hex4efdc9e4

1325255140 has 96 divisors (see below), whose sum is σ = 3101535360. Its totient is φ = 471628800.

The previous prime is 1325255119. The next prime is 1325255171. The reversal of 1325255140 is 415525231.

It is a junction number, because it is equal to n+sod(n) for n = 1325255099 and 1325255108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2874510 + ... + 2874970.

It is an arithmetic number, because the mean of its divisors is an integer number (32307660).

Almost surely, 21325255140 is an apocalyptic number.

1325255140 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 1325255140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550767680).

1325255140 is an abundant number, since it is smaller than the sum of its proper divisors (1776280220).

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

1325255140 is a wasteful number, since it uses less digits than its factorization.

1325255140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1325255140 is about 36404.0538951365. The cubic root of 1325255140 is about 1098.4151115165.

The spelling of 1325255140 in words is "one billion, three hundred twenty-five million, two hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 179 220 292 358 365 461 716 730 803 895 922 1460 1606 1790 1844 1969 2305 3212 3580 3938 4015 4610 5071 7876 8030 9220 9845 10142 13067 16060 19690 20284 25355 26134 33653 39380 50710 52268 65335 67306 82519 101420 130670 134612 143737 165038 168265 261340 287474 330076 336530 370183 412595 574948 673060 718685 740366 825190 907709 1437370 1480732 1650380 1815418 1850915 2874740 3630836 3701830 4538545 6023887 7403660 9077090 12047774 18154180 24095548 30119435 60238870 66262757 120477740 132525514 265051028 331313785 662627570 1325255140