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100142574 = 23721033307
BaseRepresentation
bin1011111100000…
…00110111101110
320222102202210020
411332000313232
5201114030244
613534223010
72324124600
oct576006756
9228382706
10100142574
1151589664
1229654a66
131799367c
14d42b170
158bd1d19
hex5f80dee

100142574 has 48 divisors (see below), whose sum is σ = 235317888. Its totient is φ = 28325808.

The previous prime is 100142573. The next prime is 100142591. The reversal of 100142574 is 475241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28629 + ... + 31935.

It is an arithmetic number, because the mean of its divisors is an integer number (4902456).

Almost surely, 2100142574 is an apocalyptic number.

100142574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100142574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117658944).

100142574 is an abundant number, since it is smaller than the sum of its proper divisors (135175314).

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

100142574 is a wasteful number, since it uses less digits than its factorization.

100142574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 100142574 is about 10007.1261608915. The cubic root of 100142574 is about 464.3793685717.

Adding to 100142574 its reverse (475241001), we get a palindrome (575383575).

The spelling of 100142574 in words is "one hundred million, one hundred forty-two thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 618 721 1442 2163 3307 4326 5047 6614 9921 10094 15141 19842 23149 30282 46298 69447 138894 162043 324086 340621 486129 681242 972258 1021863 2043726 2384347 4768694 7153041 14306082 16690429 33380858 50071287 100142574