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151012980 = 223251635147
BaseRepresentation
bin10010000000001…
…00011001110100
3101112011020212100
421000010121310
5302124403410
622552422100
73512406036
oct1100043164
9345136770
10151012980
1178274318
12426a7930
1325394cc1
14160adc56
15d3ce8c0
hex9004674

151012980 has 72 divisors (see below), whose sum is σ = 460972512. Its totient is φ = 40015296.

The previous prime is 151012973. The next prime is 151012987. The reversal of 151012980 is 89210151.

It is an interprime number because it is at equal distance from previous prime (151012973) and next prime (151012987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151012987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26767 + ... + 31913.

It is an arithmetic number, because the mean of its divisors is an integer number (6402396).

Almost surely, 2151012980 is an apocalyptic number.

151012980 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 151012980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230486256).

151012980 is an abundant number, since it is smaller than the sum of its proper divisors (309959532).

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

151012980 is a wasteful number, since it uses less digits than its factorization.

151012980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 151012980 is about 12288.7338648048. The cubic root of 151012980 is about 532.5226598834.

It can be divided in two parts, 15101 and 2980, that added together give a palindrome (18081).

The spelling of 151012980 in words is "one hundred fifty-one million, twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5147 5868 7335 9780 10294 14670 15441 20588 25735 29340 30882 46323 51470 61764 77205 92646 102940 154410 185292 231615 308820 463230 838961 926460 1677922 2516883 3355844 4194805 5033766 7550649 8389610 10067532 12584415 15101298 16779220 25168830 30202596 37753245 50337660 75506490 151012980