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136926972 = 22327313853
BaseRepresentation
bin10000010100101…
…01011011111100
3100112122121111100
420022111123330
5240023130342
621330453100
73251601000
oct1012253374
9315577440
10136926972
1170323296
1239a34190
13224a26a0
1414284700
15c04ae4c
hex82956fc

136926972 has 144 divisors (see below), whose sum is σ = 435198400. Its totient is φ = 36070272.

The previous prime is 136926967. The next prime is 136926989. The reversal of 136926972 is 279629631.

It is a happy number.

136926972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1369269722 = 37497991322177568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160098 + ... + 160950.

Almost surely, 2136926972 is an apocalyptic number.

136926972 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 136926972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217599200).

136926972 is an abundant number, since it is smaller than the sum of its proper divisors (298271428).

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

136926972 is a wasteful number, since it uses less digits than its factorization.

136926972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 878 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 136926972 is about 11701.5798933306. The cubic root of 136926972 is about 515.4220588912.

The spelling of 136926972 in words is "one hundred thirty-six million, nine hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 343 364 441 468 546 588 637 686 819 853 882 1029 1092 1274 1372 1638 1706 1764 1911 2058 2548 2559 3087 3276 3412 3822 4116 4459 5118 5733 5971 6174 7644 7677 8918 10236 11089 11466 11942 12348 13377 15354 17836 17913 22178 22932 23884 26754 30708 33267 35826 40131 41797 44356 53508 53739 66534 71652 77623 80262 83594 99801 107478 125391 133068 155246 160524 167188 199602 214956 232869 250782 292579 310492 376173 399204 465738 501564 543361 585158 698607 752346 877737 931476 1086722 1170316 1397214 1504692 1630083 1755474 2173444 2633211 2794428 3260166 3510948 3803527 4890249 5266422 6520332 7607054 9780498 10532844 11410581 15214108 19560996 22821162 34231743 45642324 68463486 136926972