Search a number
-
+
1381162896 = 24321921632
BaseRepresentation
bin101001001010010…
…1101111110010000
310120020220100022100
41102110231332100
510312034203041
6345015040400
746140455661
oct12224557620
93506810270
101381162896
116496a3143
12326670100
131901b4769
14d160b368
15813c36b6
hex5252df90

1381162896 has 135 divisors (see below), whose sum is σ = 4104665019. Its totient is φ = 433480896.

The previous prime is 1381162879. The next prime is 1381162901. The reversal of 1381162896 is 6982611831.

The square root of 1381162896 is 37164.

It is a perfect power (a square), and thus also a powerful number.

1381162896 is a `hidden beast` number, since 1 + 3 + 8 + 11 + 628 + 9 + 6 = 666.

It is a super-2 number, since 2×13811628962 = 3815221890574213632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8473311 + ... + 8473473.

Almost surely, 21381162896 is an apocalyptic number.

1381162896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1381162896 is the 37164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381162896

1381162896 is an abundant number, since it is smaller than the sum of its proper divisors (2723502123).

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

1381162896 is a wasteful number, since it uses less digits than its factorization.

1381162896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 187 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The cubic root of 1381162896 is about 1113.6489218128.

The spelling of 1381162896 in words is "one billion, three hundred eighty-one million, one hundred sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 163 171 228 304 326 342 361 456 489 652 684 722 912 978 1083 1304 1368 1444 1467 1956 2166 2608 2736 2888 2934 3097 3249 3912 4332 5776 5868 6194 6498 7824 8664 9291 11736 12388 12996 17328 18582 23472 24776 25992 26569 27873 37164 49552 51984 53138 55746 58843 74328 79707 106276 111492 117686 148656 159414 176529 212552 222984 235372 239121 318828 353058 425104 445968 470744 478242 504811 529587 637656 706116 941488 956484 1009622 1059174 1275312 1412232 1514433 1912968 2019244 2118348 2824464 3028866 3825936 4038488 4236696 4543299 6057732 8076976 8473392 9086598 9591409 12115464 18173196 19182818 24230928 28774227 36346392 38365636 57548454 72692784 76731272 86322681 115096908 153462544 172645362 230193816 345290724 460387632 690581448 1381162896