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151273540 = 225112812447
BaseRepresentation
bin10010000010001…
…00000001000100
3101112122111021201
421001010001010
5302211223130
623002152244
73514542505
oct1101040104
9345574251
10151273540
1178432060
12427b2684
1325456792
141613abac
15d431bca
hex9044044

151273540 has 48 divisors (see below), whose sum is σ = 347929344. Its totient is φ = 54790400.

The previous prime is 151273513. The next prime is 151273543. The reversal of 151273540 is 45372151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 151273499 and 151273508.

It is not an unprimeable number, because it can be changed into a prime (151273543) 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, 60597 + ... + 63043.

It is an arithmetic number, because the mean of its divisors is an integer number (7248528).

Almost surely, 2151273540 is an apocalyptic number.

151273540 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 151273540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173964672).

151273540 is an abundant number, since it is smaller than the sum of its proper divisors (196655804).

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

151273540 is a wasteful number, since it uses less digits than its factorization.

151273540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 151273540 is about 12299.3308761087. The cubic root of 151273540 is about 532.8287580256.

The spelling of 151273540 in words is "one hundred fifty-one million, two hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1124 1405 2447 2810 3091 4894 5620 6182 9788 12235 12364 15455 24470 26917 30910 48940 53834 61820 107668 134585 269170 538340 687607 1375214 2750428 3438035 6876070 7563677 13752140 15127354 30254708 37818385 75636770 151273540