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119328672 = 25331101397
BaseRepresentation
bin1110001110011…
…00111110100000
322022112112011110
413013030332200
5221022004142
615501343320
72646164001
oct707147640
9268475143
10119328672
11613a3441
1233b67b40
131b9504a8
1411bc31a8
15a72199c
hex71ccfa0

119328672 has 96 divisors (see below), whose sum is σ = 327366144. Its totient is φ = 38016000.

The previous prime is 119328563. The next prime is 119328689. The reversal of 119328672 is 276823911.

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

It is a super-2 number, since 2×1193286722 = 28478663922567168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 119328672.

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, 300378 + ... + 300774.

It is an arithmetic number, because the mean of its divisors is an integer number (3410064).

Almost surely, 2119328672 is an apocalyptic number.

119328672 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 119328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163683072).

119328672 is an abundant number, since it is smaller than the sum of its proper divisors (208037472).

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

119328672 is a wasteful number, since it uses less digits than its factorization.

119328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 119328672 is about 10923.7663834412. The cubic root of 119328672 is about 492.3208958198.

The spelling of 119328672 in words is "one hundred nineteen million, three hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 101 124 186 202 248 303 372 397 404 496 606 744 794 808 992 1191 1212 1488 1588 1616 2382 2424 2976 3131 3176 3232 4764 4848 6262 6352 9393 9528 9696 12307 12524 12704 18786 19056 24614 25048 36921 37572 38112 40097 49228 50096 73842 75144 80194 98456 100192 120291 147684 150288 160388 196912 240582 295368 300576 320776 393824 481164 590736 641552 962328 1181472 1243007 1283104 1924656 2486014 3729021 3849312 4972028 7458042 9944056 14916084 19888112 29832168 39776224 59664336 119328672