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130990848 = 2831779127
BaseRepresentation
bin1111100111011…
…00001100000000
3100010111000122220
413303230030000
5232013201343
620555331040
73150255342
oct763541400
9303430586
10130990848
1167a393aa
1237a50a80
13211a47a1
141357b292
15b777183
hex7cec300

130990848 has 144 divisors (see below), whose sum is σ = 376750080. Its totient is φ = 40255488.

The previous prime is 130990801. The next prime is 130990861. The reversal of 130990848 is 848099031.

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, 1031361 + ... + 1031487.

It is an arithmetic number, because the mean of its divisors is an integer number (2616320).

Almost surely, 2130990848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040).

130990848 is an abundant number, since it is smaller than the sum of its proper divisors (245759232).

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

130990848 is a wasteful number, since it uses less digits than its factorization.

130990848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 130990848 is about 11445.1233283001. The cubic root of 130990848 is about 507.8634803754.

The spelling of 130990848 in words is "one hundred thirty million, nine hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 127 128 136 158 192 204 237 254 256 272 316 381 384 408 474 508 544 632 762 768 816 948 1016 1088 1264 1343 1524 1632 1896 2032 2159 2176 2528 2686 3048 3264 3792 4029 4064 4318 4352 5056 5372 6096 6477 6528 7584 8058 8128 8636 10033 10112 10744 12192 12954 13056 15168 16116 16256 17272 20066 20224 21488 24384 25908 30099 30336 32232 32512 34544 40132 42976 48768 51816 60198 60672 64464 69088 80264 85952 97536 103632 120396 128928 138176 160528 170561 171904 207264 240792 257856 276352 321056 341122 343808 414528 481584 511683 515712 552704 642112 682244 829056 963168 1023366 1031424 1284224 1364488 1658112 1926336 2046732 2568448 2728976 3852672 4093464 5457952 7705344 8186928 10915904 16373856 21831808 32747712 43663616 65495424 130990848