Search a number
-
+
137801430 = 232513117779
BaseRepresentation
bin10000011011010…
…10111011010110
3100121022001000200
420031222323112
5240234121210
621401321330
73262202304
oct1015527326
9317261020
10137801430
1170870288
123a196246
132271a710
1414431274
15c1700c0
hex836aed6

137801430 has 48 divisors (see below), whose sum is σ = 385847280. Its totient is φ = 33920064.

The previous prime is 137801423. The next prime is 137801483. The reversal of 137801430 is 34108731.

It is a super-2 number, since 2×1378014302 = 37978468220089800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137801394 and 137801403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57720 + ... + 60059.

It is an arithmetic number, because the mean of its divisors is an integer number (8038485).

Almost surely, 2137801430 is an apocalyptic number.

137801430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137801430 is an abundant number, since it is smaller than the sum of its proper divisors (248045850).

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

137801430 is a wasteful number, since it uses less digits than its factorization.

137801430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117805 (or 117802 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137801430 is about 11738.8853815002. The cubic root of 137801430 is about 516.5169463278.

The spelling of 137801430 in words is "one hundred thirty-seven million, eight hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 117779 235558 353337 588895 706674 1060011 1177790 1531127 1766685 2120022 3062254 3533370 4593381 5300055 7655635 9186762 10600110 13780143 15311270 22966905 27560286 45933810 68900715 137801430