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137030004 = 223247109743
BaseRepresentation
bin10000010101011…
…10100101110100
3100112211211211100
420022232211310
5240034430004
621333010100
73252510246
oct1012564564
9315754740
10137030004
1170393741
1239a83930
132250a557
14142b0096
15c06b739
hex82ae974

137030004 has 72 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 44235072.

The previous prime is 137029993. The next prime is 137030009. The reversal of 137030004 is 400030731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137030009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 184057 + ... + 184799.

It is an arithmetic number, because the mean of its divisors is an integer number (4964960).

Almost surely, 2137030004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137030004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

137030004 is an abundant number, since it is smaller than the sum of its proper divisors (220447116).

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

137030004 is a wasteful number, since it uses less digits than its factorization.

137030004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 137030004 is about 11705.9815479096. The cubic root of 137030004 is about 515.5513045530.

Adding to 137030004 its reverse (400030731), we get a palindrome (537060735).

The spelling of 137030004 in words is "one hundred thirty-seven million, thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 109 141 188 218 282 327 423 436 564 654 743 846 981 1308 1486 1692 1962 2229 2972 3924 4458 5123 6687 8916 10246 13374 15369 20492 26748 30738 34921 46107 61476 69842 80987 92214 104763 139684 161974 184428 209526 242961 314289 323948 419052 485922 628578 728883 971844 1257156 1457766 2915532 3806389 7612778 11419167 15225556 22838334 34257501 45676668 68515002 137030004