Search a number
-
+
2501304320 = 213579773
BaseRepresentation
bin1001010100010110…
…1110000000000000
320110022122102110202
42111011232000000
520110313214240
61052111344332
7115661510264
oct22505560000
96408572422
102501304320
111073a14a59
125998220a8
1330b298038
1419a2b00a4
15e98d7315
hex9516e000

2501304320 has 112 divisors (see below), whose sum is σ = 6086612160. Its totient is φ = 986578944.

The previous prime is 2501304319. The next prime is 2501304361. The reversal of 2501304320 is 234031052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2501304292 and 2501304301.

It is a congruent number.

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, 3235454 + ... + 3236226.

Almost surely, 22501304320 is an apocalyptic number.

2501304320 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 2501304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043306080).

2501304320 is an abundant number, since it is smaller than the sum of its proper divisors (3585307840).

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

2501304320 is an frugal number, since it uses more digits than its factorization.

2501304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2501304320 is about 50013.0414991930. The cubic root of 2501304320 is about 1357.4447985403. Note that the first 3 decimals are identical.

Adding to 2501304320 its reverse (234031052), we get a palindrome (2735335372).

The spelling of 2501304320 in words is "two billion, five hundred one million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 773 790 1024 1264 1280 1546 1580 2048 2528 2560 3092 3160 3865 4096 5056 5120 6184 6320 7730 8192 10112 10240 12368 12640 15460 20224 20480 24736 25280 30920 40448 40960 49472 50560 61067 61840 80896 98944 101120 122134 123680 161792 197888 202240 244268 247360 305335 323584 395776 404480 488536 494720 610670 647168 791552 808960 977072 989440 1221340 1583104 1617920 1954144 1978880 2442680 3166208 3235840 3908288 3957760 4885360 6332416 7816576 7915520 9770720 15633152 15831040 19541440 31266304 31662080 39082880 62532608 78165760 125065216 156331520 250130432 312663040 500260864 625326080 1250652160 2501304320