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1325445200 = 245253103607
BaseRepresentation
bin100111100000000…
…1011000001010000
310102101001120222222
41033000023001100
510203303221300
6335304520212
744563045502
oct11700130120
93371046888
101325445200
116201a7662
1230ba80068
131817a6a01
14c8065d72
157b569785
hex4f00b050

1325445200 has 120 divisors (see below), whose sum is σ = 3281361408. Its totient is φ = 514275840.

The previous prime is 1325445197. The next prime is 1325445217. The reversal of 1325445200 is 25445231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1325445200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2183297 + ... + 2183903.

Almost surely, 21325445200 is an apocalyptic number.

1325445200 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 1325445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640680704).

1325445200 is an abundant number, since it is smaller than the sum of its proper divisors (1955916208).

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

1325445200 is a wasteful number, since it uses less digits than its factorization.

1325445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1325445200 is about 36406.6642251113. The cubic root of 1325445200 is about 1098.4676183360.

The spelling of 1325445200 in words is "one billion, three hundred twenty-five million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 103 106 200 206 212 265 400 412 424 515 530 607 824 848 1030 1060 1214 1325 1648 2060 2120 2428 2575 2650 3035 4120 4240 4856 5150 5300 5459 6070 8240 9712 10300 10600 10918 12140 15175 20600 21200 21836 24280 27295 30350 32171 41200 43672 48560 54590 60700 62521 64342 87344 109180 121400 125042 128684 136475 160855 218360 242800 250084 257368 272950 312605 321710 436720 500168 514736 545900 625210 643420 804275 1000336 1091800 1250420 1286840 1563025 1608550 2183600 2500840 2573680 3126050 3217100 3313613 5001680 6252100 6434200 6627226 12504200 12868400 13254452 16568065 25008400 26508904 33136130 53017808 66272260 82840325 132544520 165680650 265089040 331361300 662722600 1325445200