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102232540 = 22519299277
BaseRepresentation
bin1100001011111…
…11000111011100
321010100221200101
412011333013130
5202132420130
614051110444
72350651024
oct605770734
9233327611
10102232540
1152786903
122a2a2424
1318245a37
14d812a84
158e961ca
hex617f1dc

102232540 has 48 divisors (see below), whose sum is σ = 233805600. Its totient is φ = 37400832.

The previous prime is 102232463. The next prime is 102232541. The reversal of 102232540 is 45232201.

102232540 = T90 + T91 + ... + T849.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232541) 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, 6382 + ... + 15658.

It is an arithmetic number, because the mean of its divisors is an integer number (4870950).

Almost surely, 2102232540 is an apocalyptic number.

102232540 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 102232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116902800).

102232540 is an abundant number, since it is smaller than the sum of its proper divisors (131573060).

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

102232540 is a wasteful number, since it uses less digits than its factorization.

102232540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 102232540 is about 10111.0108297835. The cubic root of 102232540 is about 467.5876697947.

Adding to 102232540 its reverse (45232201), we get a palindrome (147464741).

The spelling of 102232540 in words is "one hundred two million, two hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 9277 11020 18554 37108 46385 92770 176263 185540 269033 352526 538066 705052 881315 1076132 1345165 1762630 2690330 3525260 5111627 5380660 10223254 20446508 25558135 51116270 102232540