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1331870976 = 28324871187
BaseRepresentation
bin100111101100010…
…1011110100000000
310102211011001111200
41033120223310000
510211424332401
6340054341200
745001500522
oct11730536400
93384131450
101331870976
11623896417
1231205a800
13182c16747
14c8c59a12
157bdd8686
hex4f62bd00

1331870976 has 108 divisors (see below), whose sum is σ = 3851239392. Its totient is φ = 442672128.

The previous prime is 1331870927. The next prime is 1331870983. The reversal of 1331870976 is 6790781331.

It is a super-2 number, since 2×13318709762 = 3547760593422385152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1121455 + ... + 1122641.

It is an arithmetic number, because the mean of its divisors is an integer number (35659624).

Almost surely, 21331870976 is an apocalyptic number.

1331870976 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 1331870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925619696).

1331870976 is an abundant number, since it is smaller than the sum of its proper divisors (2519368416).

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

1331870976 is a wasteful number, since it uses less digits than its factorization.

1331870976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1331870976 is about 36494.8075210707. The cubic root of 1331870976 is about 1100.2398859743.

The spelling of 1331870976 in words is "one billion, three hundred thirty-one million, eight hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 487 576 768 974 1152 1187 1461 1948 2304 2374 2922 3561 3896 4383 4748 5844 7122 7792 8766 9496 10683 11688 14244 15584 17532 18992 21366 23376 28488 31168 35064 37984 42732 46752 56976 62336 70128 75968 85464 93504 113952 124672 140256 151936 170928 187008 227904 280512 303872 341856 374016 455808 561024 578069 683712 911616 1122048 1156138 1367424 1734207 2312276 2734848 3468414 4624552 5202621 6936828 9249104 10405242 13873656 18498208 20810484 27747312 36996416 41620968 55494624 73992832 83241936 110989248 147985664 166483872 221978496 332967744 443956992 665935488 1331870976