Search a number
-
+
2920402125 = 325319317431
BaseRepresentation
bin1010111000010001…
…1100110011001101
321112112020210120200
42232010130303031
521440110332000
61201442204113
7132241002624
oct25604346315
97475223520
102920402125
111269544383
12696053639
133770651c4
141d9c066bb
151215be500
hexae11cccd

2920402125 has 96 divisors (see below), whose sum is σ = 5571970560. Its totient is φ = 1467504000.

The previous prime is 2920402117. The next prime is 2920402127. The reversal of 2920402125 is 5212040292.

It is a happy number.

2920402125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2920402125 - 23 = 2920402117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920402127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6775660 + ... + 6776090.

It is an arithmetic number, because the mean of its divisors is an integer number (58041360).

Almost surely, 22920402125 is an apocalyptic number.

2920402125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2920402125 is a deficient number, since it is larger than the sum of its proper divisors (2651568435).

2920402125 is a wasteful number, since it uses less digits than its factorization.

2920402125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2920402125 is about 54040.7450448271. The cubic root of 2920402125 is about 1429.3795089490.

The spelling of 2920402125 in words is "two billion, nine hundred twenty million, four hundred two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 317 375 431 475 855 951 1125 1293 1425 1585 2155 2375 2853 3879 4275 4755 6023 6465 7125 7925 8189 10775 14265 18069 19395 21375 23775 24567 30115 32325 39625 40945 53875 54207 71325 73701 90345 96975 118875 122835 136627 150575 161625 204725 271035 356625 368505 409881 451725 484875 614175 683135 752875 1023625 1229643 1355175 1842525 2049405 2258625 2595913 3070875 3415675 6148215 6775875 7787739 9212625 10247025 12979565 17078375 23363217 30741075 38938695 51235125 64897825 116816085 153705375 194693475 324489125 584080425 973467375 2920402125