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155109690 = 23252967887
BaseRepresentation
bin10010011111011…
…00100100111010
3101210212101111100
421033230210322
5304202002230
623220312230
73562260561
oct1117544472
9353771440
10155109690
117a61222a
1243b42676
132619a8a8
1416858bd8
15d93d660
hex93ec93a

155109690 has 96 divisors (see below), whose sum is σ = 423895680. Its totient is φ = 39295872.

The previous prime is 155109679. The next prime is 155109697. The reversal of 155109690 is 96901551.

It is a super-2 number, since 2×1551096902 = 48118031863792200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155109697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174427 + ... + 175313.

It is an arithmetic number, because the mean of its divisors is an integer number (4415580).

Almost surely, 2155109690 is an apocalyptic number.

155109690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155109690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211947840).

155109690 is an abundant number, since it is smaller than the sum of its proper divisors (268785990).

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

155109690 is a wasteful number, since it uses less digits than its factorization.

155109690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 155109690 is about 12454.3040752986. The cubic root of 155109690 is about 537.2952196297.

It can be divided in two parts, 15510 and 9690, that added together give a triangular number (25200 = T224).

The spelling of 155109690 in words is "one hundred fifty-five million, one hundred nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 290 335 402 435 522 603 670 870 887 1005 1206 1305 1774 1943 2010 2610 2661 3015 3886 4435 5322 5829 6030 7983 8870 9715 11658 13305 15966 17487 19430 25723 26610 29145 34974 39915 51446 58290 59429 77169 79830 87435 118858 128615 154338 174870 178287 231507 257230 297145 356574 385845 463014 534861 594290 771690 891435 1069722 1157535 1723441 1782870 2315070 2674305 3446882 5170323 5348610 8617205 10340646 15510969 17234410 25851615 31021938 51703230 77554845 155109690