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151961082 = 23713279271
BaseRepresentation
bin10010000111010…
…11110111111010
3101120221102102020
421003223313322
5302400223312
623025015310
73523435140
oct1103536772
9346842366
10151961082
1178861679
1242a84536
1325637700
1416279590
15d51a78c
hex90ebdfa

151961082 has 96 divisors (see below), whose sum is σ = 382279680. Its totient is φ = 39424320.

The previous prime is 151961081. The next prime is 151961093. The reversal of 151961082 is 280169151.

151961082 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1519610823 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151961081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560607 + ... + 560877.

It is an arithmetic number, because the mean of its divisors is an integer number (3982080).

Almost surely, 2151961082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151961082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191139840).

151961082 is an abundant number, since it is smaller than the sum of its proper divisors (230318598).

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

151961082 is a wasteful number, since it uses less digits than its factorization.

151961082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 151961082 is about 12327.2495715792. The cubic root of 151961082 is about 533.6347781129.

The spelling of 151961082 in words is "one hundred fifty-one million, nine hundred sixty-one thousand, eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 169 182 237 271 273 338 474 507 542 546 553 813 1014 1027 1106 1183 1626 1659 1897 2054 2366 3081 3318 3523 3549 3794 5691 6162 7046 7098 7189 10569 11382 13351 14378 21138 21409 21567 24661 26702 40053 42818 43134 45799 49322 64227 73983 80106 91598 93457 128454 137397 147966 149863 186914 274794 278317 280371 299726 320593 449589 556634 560742 641186 834951 899178 961779 1669902 1923558 1948219 3618121 3896438 5844657 7236242 10854363 11689314 21708726 25326847 50653694 75980541 151961082