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130101440 = 26572412
BaseRepresentation
bin1111100000100…
…11000011000000
3100001210211121212
413300103003000
5231301221230
620524305252
73136562330
oct760230300
9301724555
10130101440
1167491157
12376a2228
1320c52a01
14133c90c0
15b64d895
hex7c130c0

130101440 has 84 divisors (see below), whose sum is σ = 355537008. Its totient is φ = 44421120.

The previous prime is 130101427. The next prime is 130101443. The reversal of 130101440 is 44101031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (130101443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539720 + ... + 539960.

Almost surely, 2130101440 is an apocalyptic number.

130101440 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 130101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768504).

130101440 is an abundant number, since it is smaller than the sum of its proper divisors (225435568).

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

130101440 is an frugal number, since it uses more digits than its factorization.

130101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130101440 is about 11406.2018218161. The cubic root of 130101440 is about 506.7114303325.

Adding to 130101440 its reverse (44101031), we get a palindrome (174202471).

The spelling of 130101440 in words is "one hundred thirty million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 241 280 320 448 482 560 964 1120 1205 1687 1928 2240 2410 3374 3856 4820 6748 7712 8435 9640 13496 15424 16870 19280 26992 33740 38560 53984 58081 67480 77120 107968 116162 134960 232324 269920 290405 406567 464648 539840 580810 813134 929296 1161620 1626268 1858592 2032835 2323240 3252536 3717184 4065670 4646480 6505072 8131340 9292960 13010144 16262680 18585920 26020288 32525360 65050720 130101440