Search a number
-
+
102771460 = 225111727479
BaseRepresentation
bin1100010000000…
…10101100000100
321011101022221101
412020002230010
5202302141320
614110425444
72355354151
oct610025404
9234338841
10102771460
11530147a0
122a502284
13183a411c
14d913228
159050c0a
hex6202b04

102771460 has 48 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 35171840.

The previous prime is 102771433. The next prime is 102771463. The reversal of 102771460 is 64177201.

It is not an unprimeable number, because it can be changed into a prime (102771463) 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, 10000 + ... + 17479.

It is an arithmetic number, because the mean of its divisors is an integer number (5193720).

Almost surely, 2102771460 is an apocalyptic number.

102771460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102771460 is an abundant number, since it is smaller than the sum of its proper divisors (146527100).

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

102771460 is a wasteful number, since it uses less digits than its factorization.

102771460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27516 (or 27514 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 102771460 is about 10137.6259548279. The cubic root of 102771460 is about 468.4078615058.

The spelling of 102771460 in words is "one hundred two million, seven hundred seventy-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 27479 54958 109916 137395 274790 302269 467143 549580 604538 934286 1209076 1511345 1868572 2335715 3022690 4671430 5138573 6045380 9342860 10277146 20554292 25692865 51385730 102771460