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147240880 = 24519157617
BaseRepresentation
bin10001100011010…
…11011110110000
3101021001121111221
420301223132300
5300143202010
622335514424
73435345463
oct1061533660
9337047457
10147240880
1176128286
1241388a14
13246740a7
14157ab2da
15cdd6dda
hex8c6b7b0

147240880 has 80 divisors (see below), whose sum is σ = 363235680. Its totient is φ = 55351296.

The previous prime is 147240857. The next prime is 147240923. The reversal of 147240880 is 88042741.

147240880 = T359 + T360 + ... + T975.

147240880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238332 + ... + 238948.

It is an arithmetic number, because the mean of its divisors is an integer number (4540446).

Almost surely, 2147240880 is an apocalyptic number.

147240880 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 147240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181617840).

147240880 is an abundant number, since it is smaller than the sum of its proper divisors (215994800).

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

147240880 is a wasteful number, since it uses less digits than its factorization.

147240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 147240880 is about 12134.2853106394. The cubic root of 147240880 is about 528.0513226818.

The spelling of 147240880 in words is "one hundred forty-seven million, two hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 157 190 304 314 380 617 628 760 785 1234 1256 1520 1570 2468 2512 2983 3085 3140 4936 5966 6170 6280 9872 11723 11932 12340 12560 14915 23446 23864 24680 29830 46892 47728 49360 58615 59660 93784 96869 117230 119320 187568 193738 234460 238640 387476 468920 484345 774952 937840 968690 1549904 1840511 1937380 3681022 3874760 7362044 7749520 9202555 14724088 18405110 29448176 36810220 73620440 147240880