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141949320 = 233517149467
BaseRepresentation
bin10000111010111…
…11100110001000
3100220002202212020
420131133212020
5242314334240
622030244440
73342356262
oct1035374610
9326082766
10141949320
1173143697
123b656720
13235406a6
1414bd0b32
15c6de0d0
hex875f988

141949320 has 128 divisors (see below), whose sum is σ = 454896000. Its totient is φ = 35311616.

The previous prime is 141949319. The next prime is 141949331. The reversal of 141949320 is 23949141.

141949320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303727 + ... + 304193.

It is an arithmetic number, because the mean of its divisors is an integer number (3553875).

Almost surely, 2141949320 is an apocalyptic number.

141949320 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 141949320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227448000).

141949320 is an abundant number, since it is smaller than the sum of its proper divisors (312946680).

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

141949320 is a wasteful number, since it uses less digits than its factorization.

141949320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 141949320 is about 11914.2486124808. The cubic root of 141949320 is about 521.6482708567.

The spelling of 141949320 in words is "one hundred forty-one million, nine hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 149 170 204 255 298 340 408 447 467 510 596 680 745 894 934 1020 1192 1401 1490 1788 1868 2040 2235 2335 2533 2802 2980 3576 3736 4470 4670 5066 5604 5960 7005 7599 7939 8940 9340 10132 11208 12665 14010 15198 15878 17880 18680 20264 23817 25330 28020 30396 31756 37995 39695 47634 50660 56040 60792 63512 69583 75990 79390 95268 101320 119085 139166 151980 158780 190536 208749 238170 278332 303960 317560 347915 417498 476340 556664 695830 834996 952680 1043745 1182911 1391660 1669992 2087490 2365822 2783320 3548733 4174980 4731644 5914555 7097466 8349960 9463288 11829110 14194932 17743665 23658220 28389864 35487330 47316440 70974660 141949320