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130122240 = 293516943
BaseRepresentation
bin1111100000110…
…00001000000000
3100001211220011020
413300120020000
5231302402430
620524545440
73140010063
oct760301000
9301756136
10130122240
11674a5846
12376b2280
1320c5c311
14133d28da
15b654b10
hex7c18200

130122240 has 80 divisors (see below), whose sum is σ = 416009088. Its totient is φ = 34697216.

The previous prime is 130122227. The next prime is 130122253. The reversal of 130122240 is 42221031.

It is an interprime number because it is at equal distance from previous prime (130122227) and next prime (130122253).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792 + ... + 16151.

Almost surely, 2130122240 is an apocalyptic number.

130122240 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 130122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208004544).

130122240 is an abundant number, since it is smaller than the sum of its proper divisors (285886848).

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

130122240 is an equidigital number, since it uses as much as digits as its factorization.

130122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130122240 is about 11407.1135700492. The cubic root of 130122240 is about 506.7384324321.

Adding to 130122240 its reverse (42221031), we get a palindrome (172343271).

The spelling of 130122240 in words is "one hundred thirty million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 16943 33886 50829 67772 84715 101658 135544 169430 203316 254145 271088 338860 406632 508290 542176 677720 813264 1016580 1084352 1355440 1626528 2033160 2168704 2710880 3253056 4066320 4337408 5421760 6506112 8132640 8674816 10843520 13012224 16265280 21687040 26024448 32530560 43374080 65061120 130122240