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102834960 = 24351093931
BaseRepresentation
bin1100010000100…
…10001100010000
321011111120001020
412020102030100
5202311204320
614112035440
72356040244
oct610221420
9234446036
10102834960
1153058478
122a532b80
13183c6cb7
14d92c424
159064940
hex6212310

102834960 has 80 divisors (see below), whose sum is σ = 321794880. Its totient is φ = 27164160.

The previous prime is 102834947. The next prime is 102834971. The reversal of 102834960 is 69438201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24195 + ... + 28125.

It is an arithmetic number, because the mean of its divisors is an integer number (4022436).

Almost surely, 2102834960 is an apocalyptic number.

102834960 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 102834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160897440).

102834960 is an abundant number, since it is smaller than the sum of its proper divisors (218959920).

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

102834960 is a wasteful number, since it uses less digits than its factorization.

102834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 102834960 is about 10140.7573681654. The cubic root of 102834960 is about 468.5043142736.

The spelling of 102834960 in words is "one hundred two million, eight hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 3931 4360 5232 6540 7862 8720 11793 13080 15724 19655 23586 26160 31448 39310 47172 58965 62896 78620 94344 117930 157240 188688 235860 314480 428479 471720 856958 943440 1285437 1713916 2142395 2570874 3427832 4284790 5141748 6427185 6855664 8569580 10283496 12854370 17139160 20566992 25708740 34278320 51417480 102834960