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152994480 = 24354431439
BaseRepresentation
bin10010001111010…
…00001010110000
3101122212220222020
421013220022300
5303131310410
623103111440
73535301022
oct1107501260
9348786866
10152994480
11793a8021
12432a2580
1325909ba2
1416468012
15d671a70
hex91e82b0

152994480 has 80 divisors (see below), whose sum is σ = 475683840. Its totient is φ = 40678144.

The previous prime is 152994469. The next prime is 152994503. The reversal of 152994480 is 84499251.

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

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 15 ways as a sum of consecutive naturals, for example, 105601 + ... + 107039.

It is an arithmetic number, because the mean of its divisors is an integer number (5946048).

Almost surely, 2152994480 is an apocalyptic number.

152994480 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 152994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237841920).

152994480 is an abundant number, since it is smaller than the sum of its proper divisors (322689360).

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

152994480 is a wasteful number, since it uses less digits than its factorization.

152994480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 152994480 is about 12369.0937420653. The cubic root of 152994480 is about 534.8416918861.

The spelling of 152994480 in words is "one hundred fifty-two million, nine hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1439 1772 2215 2658 2878 3544 4317 4430 5316 5756 6645 7088 7195 8634 8860 10632 11512 13290 14390 17268 17720 21264 21585 23024 26580 28780 34536 35440 43170 53160 57560 69072 86340 106320 115120 172680 345360 637477 1274954 1912431 2549908 3187385 3824862 5099816 6374770 7649724 9562155 10199632 12749540 15299448 19124310 25499080 30598896 38248620 50998160 76497240 152994480