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102652242 = 23711832677
BaseRepresentation
bin1100001111001…
…01100101010010
321011011021101220
412013211211102
5202234332432
614104105510
72354346450
oct607454522
9234137356
10102652242
1152a43170
122a465296
1318361a94
14d8c19d0
15902a72c
hex61e5952

102652242 has 64 divisors (see below), whose sum is σ = 259144704. Its totient is φ = 26331840.

The previous prime is 102652229. The next prime is 102652247. The reversal of 102652242 is 242256201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102652247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37008 + ... + 39684.

It is an arithmetic number, because the mean of its divisors is an integer number (4049136).

Almost surely, 2102652242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102652242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129572352).

102652242 is an abundant number, since it is smaller than the sum of its proper divisors (156492462).

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

102652242 is a wasteful number, since it uses less digits than its factorization.

102652242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 102652242 is about 10131.7442723353. The cubic root of 102652242 is about 468.2266689989.

The spelling of 102652242 in words is "one hundred two million, six hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1162 1743 1826 2677 2739 3486 5354 5478 6391 8031 12782 16062 18739 19173 29447 37478 38346 56217 58894 88341 112434 176682 206129 222191 412258 444382 618387 666573 1236774 1333146 1555337 2444101 3110674 4666011 4888202 7332303 9332022 14664606 17108707 34217414 51326121 102652242