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155400192 = 211328431
BaseRepresentation
bin10010100001100…
…11100000000000
3101211102010222200
421100303200000
5304240301232
623230433200
73564610533
oct1120634000
9354363880
10155400192
117a7a0512
1244062800
132626cb9c
14168d2a1a
15d99977c
hex9433800

155400192 has 72 divisors (see below), whose sum is σ = 448877520. Its totient is φ = 51793920.

The previous prime is 155400181. The next prime is 155400211. The reversal of 155400192 is 291004551.

155400192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14217 + ... + 22647.

It is an arithmetic number, because the mean of its divisors is an integer number (6234410).

Almost surely, 2155400192 is an apocalyptic number.

155400192 is a gapful number since it is divisible by the number (12) 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 155400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224438760).

155400192 is an abundant number, since it is smaller than the sum of its proper divisors (293477328).

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

155400192 is an equidigital number, since it uses as much as digits as its factorization.

155400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 155400192 is about 12465.9613347708. The cubic root of 155400192 is about 537.6304404532.

The spelling of 155400192 in words is "one hundred fifty-five million, four hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 8431 9216 16862 18432 25293 33724 50586 67448 75879 101172 134896 151758 202344 269792 303516 404688 539584 607032 809376 1079168 1214064 1618752 2158336 2428128 3237504 4316672 4856256 6475008 8633344 9712512 12950016 17266688 19425024 25900032 38850048 51800064 77700096 155400192