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119153940 = 223519127823
BaseRepresentation
bin1110001101000…
…10010100010100
322022012122110220
413012202110110
5221000411230
615453514340
72644535403
oct706422424
9268178426
10119153940
1161294134
1233aa29b0
131b8bbab9
1411b7963a
15a6d9d10
hex71a2514

119153940 has 96 divisors (see below), whose sum is σ = 354385920. Its totient is φ = 29828736.

The previous prime is 119153899. The next prime is 119153971. The reversal of 119153940 is 49351911.

It is a super-2 number, since 2×1191539402 = 28395322835047200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144369 + ... + 145191.

It is an arithmetic number, because the mean of its divisors is an integer number (3691520).

Almost surely, 2119153940 is an apocalyptic number.

119153940 is a gapful number since it is divisible by the number (10) 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 119153940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177192960).

119153940 is an abundant number, since it is smaller than the sum of its proper divisors (235231980).

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

119153940 is a wasteful number, since it uses less digits than its factorization.

119153940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 119153940 is about 10915.7656625635. The cubic root of 119153940 is about 492.0804779450.

The spelling of 119153940 in words is "one hundred nineteen million, one hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 823 1140 1270 1524 1646 1905 2413 2469 2540 3292 3810 4115 4826 4938 7239 7620 8230 9652 9876 12065 12345 14478 15637 16460 24130 24690 28956 31274 36195 46911 48260 49380 62548 72390 78185 93822 104521 144780 156370 187644 209042 234555 312740 313563 418084 469110 522605 627126 938220 1045210 1254252 1567815 1985899 2090420 3135630 3971798 5957697 6271260 7943596 9929495 11915394 19858990 23830788 29788485 39717980 59576970 119153940