Search a number
-
+
102496520 = 2357438513
BaseRepresentation
bin1100001101111…
…11100100001000
321010212100210102
412012333210020
5202214342040
614100504532
72353130450
oct606774410
9233770712
10102496520
1152947175
122a3ab148
1318308c39
14d880d60
158ee9515
hex61bf908

102496520 has 64 divisors (see below), whose sum is σ = 269723520. Its totient is φ = 34320384.

The previous prime is 102496501. The next prime is 102496573. The reversal of 102496520 is 25694201.

It is a happy number.

It is a super-2 number, since 2×1024965202 = 21011073224220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7784 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (4214430).

Almost surely, 2102496520 is an apocalyptic number.

102496520 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 102496520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134861760).

102496520 is an abundant number, since it is smaller than the sum of its proper divisors (167227000).

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

102496520 is a wasteful number, since it uses less digits than its factorization.

102496520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 102496520 is about 10124.0564992497. The cubic root of 102496520 is about 467.9897847625.

The spelling of 102496520 in words is "one hundred two million, four hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 8513 12040 17026 34052 42565 59591 68104 85130 119182 170260 238364 297955 340520 366059 476728 595910 732118 1191820 1464236 1830295 2383640 2562413 2928472 3660590 5124826 7321180 10249652 12812065 14642360 20499304 25624130 51248260 102496520