Search a number
-
+
2500195720 = 2351183223307
BaseRepresentation
bin1001010100000101…
…1111010110001000
320110020120002202111
42111001133112020
520110022230340
61052031512104
7115646212231
oct22501372610
96406502674
102500195720
111073328060
12599388634
1330ac9a569
1419a0a2088
15e9768aea
hex9505f588

2500195720 has 128 divisors (see below), whose sum is σ = 6258954240. Its totient is φ = 891267840.

The previous prime is 2500195717. The next prime is 2500195721. The reversal of 2500195720 is 275910052.

It is not an unprimeable number, because it can be changed into a prime (2500195721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8143807 + ... + 8144113.

It is an arithmetic number, because the mean of its divisors is an integer number (48898080).

Almost surely, 22500195720 is an apocalyptic number.

2500195720 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 2500195720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129477120).

2500195720 is an abundant number, since it is smaller than the sum of its proper divisors (3758758520).

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

2500195720 is a wasteful number, since it uses less digits than its factorization.

2500195720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 2500195720 is about 50001.9571616952. The cubic root of 2500195720 is about 1357.2442250943.

The spelling of 2500195720 in words is "two billion, five hundred million, one hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 223 307 332 415 440 446 614 664 830 892 913 1115 1228 1535 1660 1784 1826 2230 2453 2456 3070 3320 3377 3652 4460 4565 4906 6140 6754 7304 8920 9130 9812 12265 12280 13508 16885 18260 18509 19624 24530 25481 27016 33770 36520 37018 49060 50962 67540 68461 74036 92545 98120 101924 127405 135080 136922 148072 185090 203599 203848 254810 273844 280291 342305 370180 407198 509620 547688 560582 684610 740360 753071 814396 1017995 1019240 1121164 1369220 1401455 1506142 1628792 2035990 2242328 2738440 2802910 3012284 3765355 4071980 5605820 5682263 6024568 7530710 8143960 11211640 11364526 15061420 22729052 28411315 30122840 45458104 56822630 62504893 113645260 125009786 227290520 250019572 312524465 500039144 625048930 1250097860 2500195720