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147499920 = 24335232969
BaseRepresentation
bin10001100101010…
…10101110010000
3101021112202212000
420302222232100
5300224444140
622345234000
73440504631
oct1062525620
9337482760
10147499920
1176294967
1241492900
1324734c79
1415837888
15ce38a30
hex8caab90

147499920 has 160 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 37610496.

The previous prime is 147499903. The next prime is 147499921. The reversal of 147499920 is 29994741.

It is a happy number.

147499920 is a `hidden beast` number, since 1 + 474 + 99 + 92 + 0 = 666.

147499920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (147499921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48196 + ... + 51164.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2147499920 is an apocalyptic number.

147499920 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 147499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

147499920 is an abundant number, since it is smaller than the sum of its proper divisors (382823280).

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

147499920 is a wasteful number, since it uses less digits than its factorization.

147499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 147499920 is about 12144.9545079428. The cubic root of 147499920 is about 528.3608071065.

The spelling of 147499920 in words is "one hundred forty-seven million, four hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 2969 3105 3312 4140 4968 5520 5938 6210 8280 8907 9936 11876 12420 14845 16560 17814 23752 24840 26721 29690 35628 44535 47504 49680 53442 59380 68287 71256 80163 89070 106884 118760 133605 136574 142512 160326 178140 204861 213768 237520 267210 273148 320652 341435 356280 400815 409722 427536 534420 546296 614583 641304 682870 712560 801630 819444 1024305 1068840 1092592 1229166 1282608 1365740 1603260 1638888 1843749 2048610 2137680 2458332 2731480 3072915 3206520 3277776 3687498 4097220 4916664 5462960 6145830 6413040 7374996 8194440 9218745 9833328 12291660 14749992 16388880 18437490 24583320 29499984 36874980 49166640 73749960 147499920