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130235840 = 2657531097
BaseRepresentation
bin1111100001100…
…11110111000000
3100002001122222122
413300303313000
5231320021330
620531223412
73140662220
oct760636700
9302048878
10130235840
1167573129
1237747b68
1320c9bc37
1413422080
15b6785e5
hex7c33dc0

130235840 has 112 divisors (see below), whose sum is σ = 361444032. Its totient is φ = 43769856.

The previous prime is 130235801. The next prime is 130235849. The reversal of 130235840 is 48532031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1302358402 = 33922748041011200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130235849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118172 + ... + 119268.

Almost surely, 2130235840 is an apocalyptic number.

130235840 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 130235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180722016).

130235840 is an abundant number, since it is smaller than the sum of its proper divisors (231208192).

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

130235840 is a wasteful number, since it uses less digits than its factorization.

130235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 130235840 is about 11412.0918327886. The cubic root of 130235840 is about 506.8858546868.

Adding to 130235840 its reverse (48532031), we get a palindrome (178767871).

The spelling of 130235840 in words is "one hundred thirty million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 848 1060 1097 1120 1484 1696 1855 2120 2194 2240 2968 3392 3710 4240 4388 5485 5936 7420 7679 8480 8776 10970 11872 14840 15358 16960 17552 21940 23744 29680 30716 35104 38395 43880 58141 59360 61432 70208 76790 87760 116282 118720 122864 153580 175520 232564 245728 290705 307160 351040 406987 465128 491456 581410 614320 813974 930256 1162820 1228640 1627948 1860512 2034935 2325640 2457280 3255896 3721024 4069870 4651280 6511792 8139740 9302560 13023584 16279480 18605120 26047168 32558960 65117920 130235840