Search a number
-
+
1054114956 = 2232157421443
BaseRepresentation
bin111110110101001…
…000010010001100
32201110111120212200
4332311020102030
54124323134311
6252333201500
735056554306
oct7665102214
92643446780
101054114956
114a1025194
12255030290
1313a50657b
149ddd6976
1562820556
hex3ed4848c

1054114956 has 72 divisors (see below), whose sum is σ = 2693977104. Its totient is φ = 347518080.

The previous prime is 1054114931. The next prime is 1054114973. The reversal of 1054114956 is 6594114501.

1054114956 is a `hidden beast` number, since 10 + 541 + 14 + 95 + 6 = 666.

It is a super-2 number, since 2×10541149562 = 2222316680925763872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1054114956.

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, 2379271 + ... + 2379713.

Almost surely, 21054114956 is an apocalyptic number.

It is an amenable number.

1054114956 is an abundant number, since it is smaller than the sum of its proper divisors (1639862148).

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

1054114956 is a wasteful number, since it uses less digits than its factorization.

1054114956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1054114956 is about 32467.1365537523. The cubic root of 1054114956 is about 1017.7223804658.

The spelling of 1054114956 in words is "one billion, fifty-four million, one hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 421 443 471 628 842 886 942 1263 1329 1413 1684 1772 1884 2526 2658 2826 3789 3987 5052 5316 5652 7578 7974 15156 15948 66097 69551 132194 139102 186503 198291 208653 264388 278204 373006 396582 417306 559509 594873 625959 746012 793164 834612 1119018 1189746 1251918 1678527 2238036 2379492 2503836 3357054 6714108 29280971 58561942 87842913 117123884 175685826 263528739 351371652 527057478 1054114956