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6142374 = 232729412
BaseRepresentation
bin10111011011100110100110
3102120001202100
4113123212212
53033023444
6335352530
7103131540
oct27334646
912501670
106142374
113515947
122082746
131370a54
14b5c690
15814e69
hex5db9a6

6142374 has 72 divisors (see below), whose sum is σ = 16127280. Its totient is φ = 1653120.

The previous prime is 6142373. The next prime is 6142387. The reversal of 6142374 is 4732416.

Its product of digits (4032) is a multiple of the sum of its prime factors (126).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149794 + ... + 149834.

It is an arithmetic number, because the mean of its divisors is an integer number (223990).

Almost surely, 26142374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063640).

6142374 is an abundant number, since it is smaller than the sum of its proper divisors (9984906).

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

6142374 is a wasteful number, since it uses less digits than its factorization.

6142374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 6142374 is about 2478.3813265920. The cubic root of 6142374 is about 183.1381202184.

The spelling of 6142374 in words is "six million, one hundred forty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 41 42 58 63 82 87 123 126 174 203 246 261 287 369 406 522 574 609 738 861 1189 1218 1681 1722 1827 2378 2583 3362 3567 3654 5043 5166 7134 8323 10086 10701 11767 15129 16646 21402 23534 24969 30258 35301 48749 49938 70602 74907 97498 105903 146247 149814 211806 292494 341243 438741 682486 877482 1023729 2047458 3071187 6142374