Search a number
-
+
102641472 = 263359399
BaseRepresentation
bin1100001111000…
…10111101000000
321011010201122000
412013202331000
5202234011342
614103544000
72354303163
oct607427500
9234121560
10102641472
1152a3606a
122a45b000
1318359bcb
14d8bbada
15902744c
hex61e2f40

102641472 has 56 divisors (see below), whose sum is σ = 301752000. Its totient is φ = 34213248.

The previous prime is 102641471. The next prime is 102641501. The reversal of 102641472 is 274146201.

102641472 is a `hidden beast` number, since 10 + 2 + 641 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102641471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27972 + ... + 31427.

Almost surely, 2102641472 is an apocalyptic number.

102641472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102641472 is an abundant number, since it is smaller than the sum of its proper divisors (199110528).

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

102641472 is an equidigital number, since it uses as much as digits as its factorization.

102641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59420 (or 59404 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102641472 is about 10131.2127605731. The cubic root of 102641472 is about 468.2102933943.

Adding to 102641472 its reverse (274146201), we get a palindrome (376787673).

The spelling of 102641472 in words is "one hundred two million, six hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 59399 118798 178197 237596 356394 475192 534591 712788 950384 1069182 1425576 1603773 1900768 2138364 2851152 3207546 3801536 4276728 5702304 6415092 8553456 11404608 12830184 17106912 25660368 34213824 51320736 102641472