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151556080 = 24513433389
BaseRepresentation
bin10010000100010…
…00111111110000
3101120011211212011
421002020333300
5302244243310
623012212304
73520130314
oct1102107760
9346154764
10151556080
1178605365
124290a094
1325525270
14161b1b44
15d48a78a
hex9088ff0

151556080 has 80 divisors (see below), whose sum is σ = 388412640. Its totient is φ = 54641664.

The previous prime is 151556051. The next prime is 151556081. The reversal of 151556080 is 80655151.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151556081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43026 + ... + 46414.

It is an arithmetic number, because the mean of its divisors is an integer number (4855158).

Almost surely, 2151556080 is an apocalyptic number.

151556080 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 151556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194206320).

151556080 is an abundant number, since it is smaller than the sum of its proper divisors (236856560).

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

151556080 is a wasteful number, since it uses less digits than its factorization.

151556080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The square root of 151556080 is about 12310.8115085887. The cubic root of 151556080 is about 533.1602806606.

The spelling of 151556080 in words is "one hundred fifty-one million, five hundred fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3389 3440 4472 5590 6778 8944 11180 13556 16945 22360 27112 33890 44057 44720 54224 67780 88114 135560 145727 176228 220285 271120 291454 352456 440570 582908 704912 728635 881140 1165816 1457270 1762280 1894451 2331632 2914540 3524560 3788902 5829080 7577804 9472255 11658160 15155608 18944510 30311216 37889020 75778040 151556080