Search a number
-
+
1475053920 = 253257271409
BaseRepresentation
bin101011111101011…
…1000100101100000
310210210120111120200
41113322320211200
511010103211140
6402211305200
751360515514
oct12772704540
93723514520
101475053920
116976a192a
12351bab200
131a6799792
14ddc8c144
158976d030
hex57eb8960

1475053920 has 144 divisors (see below), whose sum is σ = 5044122720. Its totient is φ = 392527872.

The previous prime is 1475053913. The next prime is 1475053949. The reversal of 1475053920 is 293505741.

1475053920 is a `hidden beast` number, since 147 + 505 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 1046176 + ... + 1047584.

It is an arithmetic number, because the mean of its divisors is an integer number (35028630).

Almost surely, 21475053920 is an apocalyptic number.

1475053920 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 1475053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522061360).

1475053920 is an abundant number, since it is smaller than the sum of its proper divisors (3569068800).

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

1475053920 is a wasteful number, since it uses less digits than its factorization.

1475053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1475053920 is about 38406.4307115358. The cubic root of 1475053920 is about 1138.3329280837.

The spelling of 1475053920 in words is "one billion, four hundred seventy-five million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 727 1409 1440 1454 2181 2818 2908 3635 4227 4362 5636 5816 6543 7045 7270 8454 8724 10905 11272 11632 12681 13086 14090 14540 16908 17448 21135 21810 22544 23264 25362 26172 28180 29080 32715 33816 34896 42270 43620 45088 50724 52344 56360 58160 63405 65430 67632 69792 84540 87240 101448 104688 112720 116320 126810 130860 135264 169080 174480 202896 209376 225440 253620 261720 338160 348960 405792 507240 523440 676320 1014480 1024343 1046880 2028960 2048686 3073029 4097372 5121715 6146058 8194744 9219087 10243430 12292116 15365145 16389488 18438174 20486860 24584232 30730290 32778976 36876348 40973720 46095435 49168464 61460580 73752696 81947440 92190870 98336928 122921160 147505392 163894880 184381740 245842320 295010784 368763480 491684640 737526960 1475053920