Search a number
-
+
130978944 = 27354211
BaseRepresentation
bin1111100111010…
…01010010000000
3100010110102100000
413303221102000
5232012311234
620555200000
73150205545
oct763512200
9303412300
10130978944
1167a30468
1237a46000
132119c245
1413576bcc
15b773899
hex7ce9480

130978944 has 96 divisors (see below), whose sum is σ = 390957840. Its totient is φ = 43649280.

The previous prime is 130978943. The next prime is 130978949. The reversal of 130978944 is 449879031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 130978944.

It is not an unprimeable number, because it can be changed into a prime (130978943) 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, 28999 + ... + 33209.

Almost surely, 2130978944 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 130978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

130978944 is an abundant number, since it is smaller than the sum of its proper divisors (259978896).

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

130978944 is an frugal number, since it uses more digits than its factorization.

130978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 130978944 is about 11444.6032696638. The cubic root of 130978944 is about 507.8480956110.

The spelling of 130978944 in words is "one hundred thirty million, nine hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 4211 5184 7776 8422 10368 12633 15552 16844 25266 31104 33688 37899 50532 67376 75798 101064 113697 134752 151596 202128 227394 269504 303192 341091 404256 454788 539008 606384 682182 808512 909576 1023273 1212768 1364364 1617024 1819152 2046546 2425536 2728728 3638304 4093092 4851072 5457456 7276608 8186184 10914912 14553216 16372368 21829824 32744736 43659648 65489472 130978944