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130920948 = 22343767163
BaseRepresentation
bin1111100110110…
…11000111110100
3100010100110210000
413303123013310
5232003432243
620554031300
73146544504
oct763330764
9303313700
10130920948
11679a0934
1237a18530
132117ba22
141355da04
15b7615d3
hex7cdb1f4

130920948 has 120 divisors (see below), whose sum is σ = 358938272. Its totient is φ = 41570496.

The previous prime is 130920943. The next prime is 130920949. The reversal of 130920948 is 849029031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130920943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803115 + ... + 803277.

Almost surely, 2130920948 is an apocalyptic number.

130920948 is a gapful number since it is divisible by the number (18) 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 130920948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179469136).

130920948 is an abundant number, since it is smaller than the sum of its proper divisors (228017324).

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

130920948 is a wasteful number, since it uses less digits than its factorization.

130920948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 130920948 is about 11442.0692184587. The cubic root of 130920948 is about 507.7731280743.

Adding to 130920948 its reverse (849029031), we get a palindrome (979949979).

The spelling of 130920948 in words is "one hundred thirty million, nine hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 67 74 81 108 111 134 148 162 163 201 222 268 324 326 333 402 444 489 603 652 666 804 978 999 1206 1332 1467 1809 1956 1998 2412 2479 2934 2997 3618 3996 4401 4958 5427 5868 5994 6031 7236 7437 8802 9916 10854 10921 11988 12062 13203 14874 17604 18093 21708 21842 22311 24124 26406 29748 32763 36186 43684 44622 52812 54279 65526 66933 72372 89244 98289 108558 131052 133866 162837 196578 200799 217116 267732 294867 325674 393156 401598 404077 488511 589734 651348 803196 808154 884601 977022 1179468 1212231 1616308 1769202 1954044 2424462 3538404 3636693 4848924 7273386 10910079 14546772 21820158 32730237 43640316 65460474 130920948