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137230350 = 235219179269
BaseRepresentation
bin10000010110111…
…11100000001110
3100120020000122120
420023133200032
5240112332400
621341153410
73254303325
oct1013374016
9316200576
10137230350
1170510214
1239b5b866
132257a7ba
14143230bc
15c0aaca0
hex82df80e

137230350 has 96 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 34346880.

The previous prime is 137230339. The next prime is 137230361. The reversal of 137230350 is 53032731.

It is an interprime number because it is at equal distance from previous prime (137230339) and next prime (137230361).

It is a super-2 number, since 2×1372303502 = 37664337922245000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137230350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510016 + ... + 510284.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 2137230350 is an apocalyptic number.

137230350 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 137230350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

137230350 is an abundant number, since it is smaller than the sum of its proper divisors (224353650).

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

137230350 is a wasteful number, since it uses less digits than its factorization.

137230350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 137230350 is about 11714.5358422773. The cubic root of 137230350 is about 515.8024377391.

The spelling of 137230350 in words is "one hundred thirty-seven million, two hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 179 190 269 285 358 475 537 538 570 807 895 950 1074 1345 1425 1614 1790 2685 2690 2850 3401 4035 4475 5111 5370 6725 6802 8070 8950 10203 10222 13425 13450 15333 17005 20175 20406 25555 26850 30666 34010 40350 48151 51015 51110 76665 85025 96302 102030 127775 144453 153330 170050 240755 255075 255550 288906 383325 481510 510150 722265 766650 914869 1203775 1444530 1829738 2407550 2744607 3611325 4574345 5489214 7222650 9148690 13723035 22871725 27446070 45743450 68615175 137230350