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137720240 = 2457832963
BaseRepresentation
bin10000011010101…
…11000110110000
3100121010220122122
420031113012300
5240224021430
621355453412
73261413510
oct1015270660
9317126578
10137720240
1170815289
123a157268
13226bc788
141440d840
15c155ee5
hex83571b0

137720240 has 80 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 46633728.

The previous prime is 137720239. The next prime is 137720257. The reversal of 137720240 is 42027731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44999 + ... + 47961.

Almost surely, 2137720240 is an apocalyptic number.

137720240 is a gapful number since it is divisible by the number (10) 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 137720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

137720240 is an abundant number, since it is smaller than the sum of its proper divisors (232756048).

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

137720240 is a wasteful number, since it uses less digits than its factorization.

137720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 137720240 is about 11735.4267071973. The cubic root of 137720240 is about 516.4154857224.

Adding to 137720240 its reverse (42027731), we get a palindrome (179747971).

The spelling of 137720240 in words is "one hundred thirty-seven million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2905 2963 3320 4648 5810 5926 6640 9296 11620 11852 14815 20741 23240 23704 29630 41482 46480 47408 59260 82964 103705 118520 165928 207410 237040 245929 331856 414820 491858 829640 983716 1229645 1659280 1721503 1967432 2459290 3443006 3934864 4918580 6886012 8607515 9837160 13772024 17215030 19674320 27544048 34430060 68860120 137720240