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201472640 = 2752313687
BaseRepresentation
bin11000000001000…
…11101010000000
3112001002212111122
430000203222000
5403034111030
631554131412
74664326535
oct1400435200
9461085448
10201472640
11a37a9416
1257580b68
13329816a5
141ca86d8c
1512a4a8e5
hexc023a80

201472640 has 64 divisors (see below), whose sum is σ = 502623360. Its totient is φ = 77079552.

The previous prime is 201472639. The next prime is 201472651. The reversal of 201472640 is 46274102.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7877 + ... + 21563.

It is an arithmetic number, because the mean of its divisors is an integer number (7853490).

Almost surely, 2201472640 is an apocalyptic number.

201472640 is a gapful number since it is divisible by the number (20) 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 201472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251311680).

201472640 is an abundant number, since it is smaller than the sum of its proper divisors (301150720).

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

201472640 is a wasteful number, since it uses less digits than its factorization.

201472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13729 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 201472640 is about 14194.1058189658. The cubic root of 201472640 is about 586.2353809076.

The spelling of 201472640 in words is "two hundred one million, four hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 13687 14720 27374 54748 68435 109496 136870 218992 273740 314801 437984 547480 629602 875968 1094960 1259204 1574005 1751936 2189920 2518408 3148010 4379840 5036816 6296020 8759680 10073632 12592040 20147264 25184080 40294528 50368160 100736320 201472640