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1364556420 = 2232523329603
BaseRepresentation
bin101000101010101…
…0111101010000100
310112002122122111200
41101111113222010
510243311301140
6343223102500
745546352413
oct12125275204
93462578450
101364556420
11640290487
12320ba1a30
1318991bb46
14cd32747a
157ebe3030
hex51557a84

1364556420 has 72 divisors (see below), whose sum is σ = 4319130816. Its totient is φ = 348059712.

The previous prime is 1364556379. The next prime is 1364556439. The reversal of 1364556420 is 246554631.

1364556420 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 5 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 160662 + ... + 168941.

It is an arithmetic number, because the mean of its divisors is an integer number (59987928).

Almost surely, 21364556420 is an apocalyptic number.

1364556420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364556420 is an abundant number, since it is smaller than the sum of its proper divisors (2954574396).

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

1364556420 is a wasteful number, since it uses less digits than its factorization.

1364556420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329641 (or 329636 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1364556420 is about 36939.9028152484. The cubic root of 1364556420 is about 1109.1675765289.

The spelling of 1364556420 in words is "one billion, three hundred sixty-four million, five hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 329603 659206 988809 1318412 1648015 1977618 2966427 3296030 3955236 4944045 5932854 6592060 7580869 9888090 11865708 14832135 15161738 19776180 22742607 29664270 30323476 37904345 45485214 59328540 68227821 75808690 90970428 113713035 136455642 151617380 227426070 272911284 341139105 454852140 682278210 1364556420