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119130144 = 2537296113
BaseRepresentation
bin1110001100111…
…00100000100000
322022011102211120
413012130200200
5220444131034
615453212240
72644406130
oct706344040
9268142746
10119130144
1161278271
1233a91080
131b8b1013
1411b70ac0
15a6d2c49
hex719c820

119130144 has 96 divisors (see below), whose sum is σ = 369774720. Its totient is φ = 32858112.

The previous prime is 119130139. The next prime is 119130157. The reversal of 119130144 is 441031911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16432 + ... + 22544.

It is an arithmetic number, because the mean of its divisors is an integer number (3851820).

Almost surely, 2119130144 is an apocalyptic number.

119130144 is a gapful number since it is divisible by the number (14) 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 119130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184887360).

119130144 is an abundant number, since it is smaller than the sum of its proper divisors (250644576).

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

119130144 is a wasteful number, since it uses less digits than its factorization.

119130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 119130144 is about 10914.6756250472. The cubic root of 119130144 is about 492.0477182880.

The spelling of 119130144 in words is "one hundred nineteen million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6113 6496 9744 12226 18339 19488 24452 36678 42791 48904 73356 85582 97808 128373 146712 171164 177277 195616 256746 293424 342328 354554 513492 531831 586848 684656 709108 1026984 1063662 1240939 1369312 1418216 2053968 2127324 2481878 2836432 3722817 4107936 4254648 4963756 5672864 7445634 8509296 9927512 14891268 17018592 19855024 29782536 39710048 59565072 119130144