Search a number
-
+
40138602 = 23719179281
BaseRepresentation
bin1001100100011…
…1011101101010
32210112020210220
42121013131222
540233413402
63552150510
7665113110
oct231073552
983466726
1040138602
11207257a9
1211538436
13841496a
14548bab0
1537ccdbc
hex264776a

40138602 has 64 divisors (see below), whose sum is σ = 97459200. Its totient is φ = 10765440.

The previous prime is 40138601. The next prime is 40138603. The reversal of 40138602 is 20683104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40138601) and next prime (40138603).

It is a super-2 number, since 2×401386022 = 3222214741028808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40138601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142702 + ... + 142982.

It is an arithmetic number, because the mean of its divisors is an integer number (1522800).

Almost surely, 240138602 is an apocalyptic number.

40138602 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40138602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48729600).

40138602 is an abundant number, since it is smaller than the sum of its proper divisors (57320598).

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

40138602 is a wasteful number, since it uses less digits than its factorization.

40138602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 40138602 is about 6335.5032949246. The cubic root of 40138602 is about 342.3897441119.

The spelling of 40138602 in words is "forty million, one hundred thirty-eight thousand, six hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 179 266 281 358 399 537 562 798 843 1074 1253 1686 1967 2506 3401 3759 3934 5339 5901 6802 7518 10203 10678 11802 16017 20406 23807 32034 37373 47614 50299 71421 74746 100598 112119 142842 150897 224238 301794 352093 704186 955681 1056279 1911362 2112558 2867043 5734086 6689767 13379534 20069301 40138602