Search a number
-
+
137169690 = 23575911071
BaseRepresentation
bin10000010110100…
…00101100011010
3100120002221102220
420023100230122
5240103412230
621340004510
73253631430
oct1013205432
9316087386
10137169690
1170479689
1239b30736
1322558cc8
1414308d50
15c097d10
hex82d0b1a

137169690 has 64 divisors (see below), whose sum is σ = 382648320. Its totient is φ = 30818880.

The previous prime is 137169689. The next prime is 137169691. The reversal of 137169690 is 96961731.

It is an interprime number because it is at equal distance from previous prime (137169689) and next prime (137169691).

It is a super-2 number, since 2×1371696902 = 37631047709392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (137169691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6855 + ... + 17925.

It is an arithmetic number, because the mean of its divisors is an integer number (5978880).

Almost surely, 2137169690 is an apocalyptic number.

137169690 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 137169690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191324160).

137169690 is an abundant number, since it is smaller than the sum of its proper divisors (245478630).

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

137169690 is a wasteful number, since it uses less digits than its factorization.

137169690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147.

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 137169690 is about 11711.9464650416. The cubic root of 137169690 is about 515.7264264020.

The spelling of 137169690 in words is "one hundred thirty-seven million, one hundred sixty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 6195 11071 12390 22142 33213 55355 66426 77497 110710 154994 166065 232491 332130 387485 464982 653189 774970 1162455 1306378 1959567 2324910 3265945 3919134 4572323 6531890 9144646 9797835 13716969 19595670 22861615 27433938 45723230 68584845 137169690