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147731920 = 2457331797
BaseRepresentation
bin10001100111000…
…11010111010000
3101021222120002121
420303203113100
5300304410140
622354224024
73442462210
oct1063432720
9337876077
10147731920
11764331a6
1241585014
13247b674b
1415898240
15ce8264a
hex8ce35d0

147731920 has 80 divisors (see below), whose sum is σ = 394224768. Its totient is φ = 50434560.

The previous prime is 147731917. The next prime is 147731971. The reversal of 147731920 is 29137741.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184962 + ... + 185758.

Almost surely, 2147731920 is an apocalyptic number.

147731920 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 147731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197112384).

147731920 is an abundant number, since it is smaller than the sum of its proper divisors (246492848).

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

147731920 is a wasteful number, since it uses less digits than its factorization.

147731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 147731920 is about 12154.5020465669. The cubic root of 147731920 is about 528.6376784330.

The spelling of 147731920 in words is "one hundred forty-seven million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 331 560 662 797 1324 1594 1655 2317 2648 3188 3310 3985 4634 5296 5579 6376 6620 7970 9268 11158 11585 12752 13240 15940 18536 22316 23170 26480 27895 31880 37072 44632 46340 55790 63760 89264 92680 111580 185360 223160 263807 446320 527614 1055228 1319035 1846649 2110456 2638070 3693298 4220912 5276140 7386596 9233245 10552280 14773192 18466490 21104560 29546384 36932980 73865960 147731920