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151330480 = 24571811493
BaseRepresentation
bin10010000010100…
…01111010110000
3101112202101101121
421001101322300
5302220033410
623003312024
73515200510
oct1101217260
9345671347
10151330480
1178470914
124281b614
1325476682
1416153840
15d4439da
hex9051eb0

151330480 has 80 divisors (see below), whose sum is σ = 404599104. Its totient is φ = 51563520.

The previous prime is 151330453. The next prime is 151330493. The reversal of 151330480 is 84033151.

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, 100614 + ... + 102106.

Almost surely, 2151330480 is an apocalyptic number.

151330480 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 151330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299552).

151330480 is an abundant number, since it is smaller than the sum of its proper divisors (253268624).

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

151330480 is a wasteful number, since it uses less digits than its factorization.

151330480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 151330480 is about 12301.6454183983. The cubic root of 151330480 is about 532.8956026385.

The spelling of 151330480 in words is "one hundred fifty-one million, three hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 181 280 362 560 724 905 1267 1448 1493 1810 2534 2896 2986 3620 5068 5972 6335 7240 7465 10136 10451 11944 12670 14480 14930 20272 20902 23888 25340 29860 41804 50680 52255 59720 83608 101360 104510 119440 167216 209020 270233 418040 540466 836080 1080932 1351165 1891631 2161864 2702330 3783262 4323728 5404660 7566524 9458155 10809320 15133048 18916310 21618640 30266096 37832620 75665240 151330480