Search a number
-
+
102997312 = 2611236361
BaseRepresentation
bin1100010001110…
…01110101000000
321011210210202021
412020321311000
5202331403222
614115331224
72360314465
oct610716500
9234723667
10102997312
1153159450
122a5b0b14
1318452b72
14d97166c
159097ac7
hex6239d40

102997312 has 56 divisors (see below), whose sum is σ = 232696512. Its totient is φ = 44774400.

The previous prime is 102997253. The next prime is 102997327. The reversal of 102997312 is 213799201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13012 + ... + 19372.

Almost surely, 2102997312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348256).

102997312 is an abundant number, since it is smaller than the sum of its proper divisors (129699200).

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

102997312 is a wasteful number, since it uses less digits than its factorization.

102997312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 102997312 is about 10148.7591359732. The cubic root of 102997312 is about 468.7507370181.

The spelling of 102997312 in words is "one hundred two million, nine hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 6361 8096 12722 16192 25444 50888 69971 101776 139942 146303 203552 279884 292606 407104 559768 585212 1119536 1170424 1609333 2239072 2340848 3218666 4478144 4681696 6437332 9363392 12874664 25749328 51498656 102997312