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119942496 = 2532478861
BaseRepresentation
bin1110010011000…
…10110101100000
322100200201011200
413021202311200
5221201124441
615522441200
72654331402
oct711426540
9270621150
10119942496
1161782633
1234203200
131bb069bb
1411d02b72
15a7e37b6
hex7262d60

119942496 has 72 divisors (see below), whose sum is σ = 348382944. Its totient is φ = 39125760.

The previous prime is 119942489. The next prime is 119942513. The reversal of 119942496 is 694249911.

119942496 is a `hidden beast` number, since 119 + 9 + 42 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 9106 + ... + 17966.

It is an arithmetic number, because the mean of its divisors is an integer number (4838652).

Almost surely, 2119942496 is an apocalyptic number.

119942496 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 119942496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191472).

119942496 is an abundant number, since it is smaller than the sum of its proper divisors (228440448).

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

119942496 is a wasteful number, since it uses less digits than its factorization.

119942496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924 (or 8913 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 119942496 is about 10951.8261490950. The cubic root of 119942496 is about 493.1636150227.

The spelling of 119942496 in words is "one hundred nineteen million, nine hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 8861 13536 17722 26583 35444 53166 70888 79749 106332 141776 159498 212664 283552 318996 416467 425328 637992 832934 850656 1249401 1275984 1665868 2498802 2551968 3331736 3748203 4997604 6663472 7496406 9995208 13326944 14992812 19990416 29985624 39980832 59971248 119942496