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151530192 = 243211271353
BaseRepresentation
bin10010000100000…
…10101011010000
3101120010112100100
421002002223100
5302242431232
623011452400
73516661662
oct1102025320
9346115310
10151530192
1178597970
12428b7100
1325516548
14161a6532
15d482c7c
hex9082ad0

151530192 has 120 divisors (see below), whose sum is σ = 465648768. Its totient is φ = 45619200.

The previous prime is 151530157. The next prime is 151530193. The reversal of 151530192 is 291035151.

It is a super-2 number, since 2×1515301922 = 45922798175113728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151530193) 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, 429088 + ... + 429440.

Almost surely, 2151530192 is an apocalyptic number.

151530192 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 151530192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232824384).

151530192 is an abundant number, since it is smaller than the sum of its proper divisors (314118576).

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

151530192 is a wasteful number, since it uses less digits than its factorization.

151530192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 151530192 is about 12309.7600301549. The cubic root of 151530192 is about 533.1299217349.

The spelling of 151530192 in words is "one hundred fifty-one million, five hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 271 353 396 528 542 706 792 813 1059 1084 1412 1584 1626 2118 2168 2439 2824 2981 3177 3252 3883 4236 4336 4878 5648 5962 6354 6504 7766 8472 8943 9756 11649 11924 12708 13008 15532 16944 17886 19512 23298 23848 25416 26829 31064 34947 35772 39024 46596 47696 50832 53658 62128 69894 71544 93192 95663 107316 139788 143088 186384 191326 214632 279576 286989 382652 429264 559152 573978 765304 860967 1052293 1147956 1530608 1721934 2104586 2295912 3156879 3443868 4209172 4591824 6313758 6887736 8418344 9470637 12627516 13775472 16836688 18941274 25255032 37882548 50510064 75765096 151530192