Search a number
-
+
151501272 = 233132771753
BaseRepresentation
bin10010000011110…
…11100111011000
3101120002001200020
421001323213120
5302241020042
623011110440
73516511446
oct1101734730
9346061606
10151501272
117857816a
12428a2420
1325506330
1416199b96
15d4793ec
hex907b9d8

151501272 has 64 divisors (see below), whose sum is σ = 409594080. Its totient is φ = 46420992.

The previous prime is 151501267. The next prime is 151501279. The reversal of 151501272 is 272105151.

151501272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151501279) 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, 85548 + ... + 87300.

Almost surely, 2151501272 is an apocalyptic number.

151501272 is a gapful number since it is divisible by the number (12) 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 151501272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204797040).

151501272 is an abundant number, since it is smaller than the sum of its proper divisors (258092808).

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

151501272 is a wasteful number, since it uses less digits than its factorization.

151501272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 151501272 is about 12308.5852964506. The cubic root of 151501272 is about 533.0960030856.

The spelling of 151501272 in words is "one hundred fifty-one million, five hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 277 312 554 831 1108 1662 1753 2216 3324 3506 3601 5259 6648 7012 7202 10518 10803 14024 14404 21036 21606 22789 28808 42072 43212 45578 68367 86424 91156 136734 182312 273468 485581 546936 971162 1456743 1942324 2913486 3884648 5826972 6312553 11653944 12625106 18937659 25250212 37875318 50500424 75750636 151501272