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147999120 = 24354314341
BaseRepresentation
bin10001101001001…
…00100110010000
3101022111010121220
420310210212100
5300341432440
622404045040
73444654213
oct1064444620
9338433556
10147999120
11765a5a25
1241693780
132487b259
141592777a
15ced68d0
hex8d24990

147999120 has 80 divisors (see below), whose sum is σ = 469499712. Its totient is φ = 38545920.

The previous prime is 147999119. The next prime is 147999143. The reversal of 147999120 is 21999741.

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, 3150 + ... + 17490.

Almost surely, 2147999120 is an apocalyptic number.

147999120 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 147999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234749856).

147999120 is an abundant number, since it is smaller than the sum of its proper divisors (321500592).

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

147999120 is a wasteful number, since it uses less digits than its factorization.

147999120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14400 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 147999120 is about 12165.4888927655. The cubic root of 147999120 is about 528.9561988836.

The spelling of 147999120 in words is "one hundred forty-seven million, nine hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 14341 28682 43023 57364 71705 86046 114728 143410 172092 215115 229456 286820 344184 430230 573640 616663 688368 860460 1147280 1233326 1720920 1849989 2466652 3083315 3441840 3699978 4933304 6166630 7399956 9249945 9866608 12333260 14799912 18499890 24666520 29599824 36999780 49333040 73999560 147999120