Search a number
-
+
1268946252 = 2232720992399
BaseRepresentation
bin100101110100010…
…1001010101001100
310021102202011000100
41023220221111030
510044322240002
6325525531100
743305602520
oct11350512514
93242664010
101268946252
115a1318112
122b4b73a90
13172b84492
14c0759d80
157660911c
hex4ba2954c

1268946252 has 72 divisors (see below), whose sum is σ = 3669120000. Its totient is φ = 362232288.

The previous prime is 1268946241. The next prime is 1268946307. The reversal of 1268946252 is 2526498621.

1268946252 is a `hidden beast` number, since 12 + 6 + 8 + 9 + 4 + 625 + 2 = 666.

It is a super-2 number, since 2×12689462522 = 3220449180929695008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1268946198 and 1268946207.

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, 527749 + ... + 530147.

It is an arithmetic number, because the mean of its divisors is an integer number (50960000).

Almost surely, 21268946252 is an apocalyptic number.

1268946252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1268946252 is an abundant number, since it is smaller than the sum of its proper divisors (2400173748).

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

1268946252 is a wasteful number, since it uses less digits than its factorization.

1268946252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4510 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1268946252 is about 35622.2718534346. The cubic root of 1268946252 is about 1082.6325387837.

The spelling of 1268946252 in words is "one billion, two hundred sixty-eight million, nine hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2099 2399 4198 4798 6297 7197 8396 9596 12594 14394 14693 16793 18891 21591 25188 28788 29386 33586 37782 43182 44079 50379 58772 67172 75564 86364 88158 100758 132237 151137 176316 201516 264474 302274 528948 604548 5035501 10071002 15106503 20142004 30213006 35248507 45319509 60426012 70497014 90639018 105745521 140994028 181278036 211491042 317236563 422982084 634473126 1268946252