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381636960 = 2535795077
BaseRepresentation
bin10110101111110…
…101000101100000
3222121010011111020
4112233311011200
51240144340320
6101511445440
712312601125
oct2657650540
9877104436
10381636960
11186473551
12a7986880
13610b22b3
143898474c
1523787940
hex16bf5160

381636960 has 48 divisors (see below), whose sum is σ = 1202157936. Its totient is φ = 101769728.

The previous prime is 381636949. The next prime is 381636967. The reversal of 381636960 is 69636183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381636967) 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, 397059 + ... + 398018.

It is an arithmetic number, because the mean of its divisors is an integer number (25044957).

Almost surely, 2381636960 is an apocalyptic number.

381636960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381636960 is an abundant number, since it is smaller than the sum of its proper divisors (820520976).

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

381636960 is a wasteful number, since it uses less digits than its factorization.

381636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795095 (or 795087 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 381636960 is about 19535.5307068940. The cubic root of 381636960 is about 725.3542208818.

The spelling of 381636960 in words is "three hundred eighty-one million, six hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 795077 1590154 2385231 3180308 3975385 4770462 6360616 7950770 9540924 11926155 12721232 15901540 19081848 23852310 25442464 31803080 38163696 47704620 63606160 76327392 95409240 127212320 190818480 381636960