Search a number
-
+
25400307920 = 245133178501
BaseRepresentation
bin10111101001111110…
…011111000011010000
32102120012011100001012
4113221332133003100
5404004434323140
615400240430052
71556305024601
oct275176370320
972505140035
1025400307920
11a8548a2319
124b0a618328
13251a455000
14132d5cbda8
159d9de7265
hex5e9f9f0d0

25400307920 has 160 divisors (see below), whose sum is σ = 67745976480. Its totient is φ = 8825856000.

The previous prime is 25400307917. The next prime is 25400307943. The reversal of 25400307920 is 2970300452.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 25377764416 + 22543504 = 159304^2 + 4748^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2983670 + ... + 2992170.

It is an arithmetic number, because the mean of its divisors is an integer number (423412353).

Almost surely, 225400307920 is an apocalyptic number.

25400307920 is a gapful number since it is divisible by the number (20) 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 25400307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33872988240).

25400307920 is an abundant number, since it is smaller than the sum of its proper divisors (42345668560).

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

25400307920 is a wasteful number, since it uses less digits than its factorization.

25400307920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 25400307920 in words is "twenty-five billion, four hundred million, three hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 169 170 208 221 260 272 338 340 442 520 676 680 845 884 1040 1105 1352 1360 1690 1768 2197 2210 2704 2873 3380 3536 4394 4420 5746 6760 8501 8788 8840 10985 11492 13520 14365 17002 17576 17680 21970 22984 28730 34004 35152 37349 42505 43940 45968 57460 68008 74698 85010 87880 110513 114920 136016 144517 149396 170020 175760 186745 221026 229840 289034 298792 340040 373490 442052 552565 578068 597584 680080 722585 746980 884104 1105130 1156136 1436669 1445170 1493960 1768208 1878721 2210260 2312272 2873338 2890340 2987920 3757442 4420520 5746676 5780680 7183345 7514884 8841040 9393605 11493352 11561360 14366690 15029768 18676697 18787210 22986704 24423373 28733380 30059536 37353394 37574420 48846746 57466760 74706788 75148840 93383485 97693492 114933520 122116865 149413576 150297680 186766970 195386984 244233730 298827152 317503849 373533940 390773968 488467460 635007698 747067880 976934920 1270015396 1494135760 1587519245 1953869840 2540030792 3175038490 5080061584 6350076980 12700153960 25400307920