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151368096 = 25311283157
BaseRepresentation
bin10010000010110…
…11000110100000
3101112211021222210
421001123012200
5302222234341
623004202120
73515415255
oct1101330640
9345737883
10151368096
1178497100
1242839340
132548a829
141616342c
15d44ec16
hex905b1a0

151368096 has 144 divisors (see below), whose sum is σ = 444824352. Its totient is φ = 45027840.

The previous prime is 151368067. The next prime is 151368097. The reversal of 151368096 is 690863151.

It is not an unprimeable number, because it can be changed into a prime (151368097) 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, 964050 + ... + 964206.

It is an arithmetic number, because the mean of its divisors is an integer number (3089058).

Almost surely, 2151368096 is an apocalyptic number.

151368096 is a gapful number since it is divisible by the number (16) 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 151368096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222412176).

151368096 is an abundant number, since it is smaller than the sum of its proper divisors (293456256).

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

151368096 is a wasteful number, since it uses less digits than its factorization.

151368096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 151368096 is about 12303.1742245650. The cubic root of 151368096 is about 532.9397526788.

It can be divided in two parts, 15136 and 8096, that added together give a palindrome (23232).

The spelling of 151368096 in words is "one hundred fifty-one million, three hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 121 132 157 166 176 242 249 264 314 332 352 363 471 484 498 528 628 664 726 913 942 968 996 1056 1256 1328 1452 1727 1826 1884 1936 1992 2512 2656 2739 2904 3454 3652 3768 3872 3984 5024 5181 5478 5808 6908 7304 7536 7968 10043 10362 10956 11616 13031 13816 14608 15072 18997 20086 20724 21912 26062 27632 29216 30129 37994 39093 40172 41448 43824 52124 55264 56991 60258 75988 78186 80344 82896 87648 104248 113982 120516 143341 151976 156372 160688 165792 208496 227964 241032 286682 303952 312744 321376 416992 430023 455928 482064 573364 607904 625488 860046 911856 964128 1146728 1250976 1576751 1720092 1823712 2293456 3153502 3440184 4586912 4730253 6307004 6880368 9460506 12614008 13760736 18921012 25228016 37842024 50456032 75684048 151368096