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1412103936 = 28313713421
BaseRepresentation
bin101010000101010…
…1111111100000000
310122102010022102210
41110022233330000
510342444311221
6352042142120
746664454045
oct12412577400
93572108383
101412103936
11665106651
12334ab1940
13196728b79
14d57831cc
1583e86276
hex542aff00

1412103936 has 72 divisors (see below), whose sum is σ = 3785970384. Its totient is φ = 467230720.

The previous prime is 1412103923. The next prime is 1412103937. The reversal of 1412103936 is 6393012141.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412103937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98506 + ... + 111926.

It is an arithmetic number, because the mean of its divisors is an integer number (52582922).

Almost surely, 21412103936 is an apocalyptic number.

1412103936 is a gapful number since it is divisible by the number (16) 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 1412103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892985192).

1412103936 is an abundant number, since it is smaller than the sum of its proper divisors (2373866448).

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

1412103936 is a wasteful number, since it uses less digits than its factorization.

1412103936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1412103936 is about 37577.9714194367. The cubic root of 1412103936 is about 1121.9036333616.

The spelling of 1412103936 in words is "one billion, four hundred twelve million, one hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 548 768 822 1096 1644 2192 3288 4384 6576 8768 13152 13421 17536 26304 26842 35072 40263 52608 53684 80526 105216 107368 161052 214736 322104 429472 644208 858944 1288416 1717888 1838677 2576832 3435776 3677354 5153664 5516031 7354708 10307328 11032062 14709416 22064124 29418832 44128248 58837664 88256496 117675328 176512992 235350656 353025984 470701312 706051968 1412103936