Search a number
-
+
101255520 = 25351931093
BaseRepresentation
bin1100000100100…
…00100101100000
321001112022110110
412002100211200
5201410134040
614014131320
72336441412
oct602204540
9231468413
10101255520
1152179853
1229ab0b40
1317c93112
14d63a9b2
158d51980
hex6090960

101255520 has 96 divisors (see below), whose sum is σ = 320900832. Its totient is φ = 26836992.

The previous prime is 101255513. The next prime is 101255521. The reversal of 101255520 is 25552101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101255521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92094 + ... + 93186.

It is an arithmetic number, because the mean of its divisors is an integer number (3342717).

Almost surely, 2101255520 is an apocalyptic number.

101255520 is a gapful number since it is divisible by the number (10) 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 101255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160450416).

101255520 is an abundant number, since it is smaller than the sum of its proper divisors (219645312).

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

101255520 is a wasteful number, since it uses less digits than its factorization.

101255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 101255520 is about 10062.5801860159. The cubic root of 101255520 is about 466.0933458248.

The spelling of 101255520 in words is "one hundred one million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1093 1158 1544 1930 2186 2316 2895 3088 3279 3860 4372 4632 5465 5790 6176 6558 7720 8744 9264 10930 11580 13116 15440 16395 17488 18528 21860 23160 26232 30880 32790 34976 43720 46320 52464 65580 87440 92640 104928 131160 174880 210949 262320 421898 524640 632847 843796 1054745 1265694 1687592 2109490 2531388 3164235 3375184 4218980 5062776 6328470 6750368 8437960 10125552 12656940 16875920 20251104 25313880 33751840 50627760 101255520