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102242544 = 24323372503
BaseRepresentation
bin1100001100000…
…01100011110000
321010101110101220
412012001203300
5202133230134
614051225040
72351022135
oct606014360
9233343356
10102242544
1152793378
122a2a8180
131824a461
14d81658c
158e99149
hex61818f0

102242544 has 80 divisors (see below), whose sum is σ = 283172352. Its totient is φ = 31705344.

The previous prime is 102242537. The next prime is 102242549. The reversal of 102242544 is 445242201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242549) 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, 39597 + ... + 42099.

Almost surely, 2102242544 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 102242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141586176).

102242544 is an abundant number, since it is smaller than the sum of its proper divisors (180929808).

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

102242544 is a wasteful number, since it uses less digits than its factorization.

102242544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 102242544 is about 10111.5055258849. The cubic root of 102242544 is about 467.6029212808.

Adding to 102242544 its reverse (445242201), we get a palindrome (547484745).

The spelling of 102242544 in words is "one hundred two million, two hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2503 2553 3404 5006 5106 6808 7509 10012 10212 13616 15018 20024 20424 30036 40048 40848 57569 60072 92611 115138 120144 172707 185222 230276 277833 345414 370444 460552 555666 690828 740888 921104 1111332 1381656 1481776 2130053 2222664 2763312 4260106 4445328 6390159 8520212 12780318 17040424 25560636 34080848 51121272 102242544