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40400136 = 23327711129
BaseRepresentation
bin1001101000011…
…1010100001000
32211000112120100
42122013110020
540320301021
64001525400
71000252440
oct232072410
984015510
1040400136
1120894247
1211643860
1384a6a0a
145519120
153830626
hex2687508

40400136 has 96 divisors (see below), whose sum is σ = 126921600. Its totient is φ = 11370240.

The previous prime is 40400131. The next prime is 40400141. The reversal of 40400136 is 63100404.

It is an interprime number because it is at equal distance from previous prime (40400131) and next prime (40400141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40400131) 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, 35220 + ... + 36348.

It is an arithmetic number, because the mean of its divisors is an integer number (1322100).

Almost surely, 240400136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63460800).

40400136 is an abundant number, since it is smaller than the sum of its proper divisors (86521464).

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

40400136 is a wasteful number, since it uses less digits than its factorization.

40400136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40400136 is about 6356.1101312045. The cubic root of 40400136 is about 343.1317793558.

The spelling of 40400136 in words is "forty million, four hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 639 852 994 1129 1278 1491 1704 1988 2258 2556 2982 3387 3976 4473 4516 5112 5964 6774 7903 8946 9032 10161 11928 13548 15806 17892 20322 23709 27096 31612 35784 40644 47418 63224 71127 80159 81288 94836 142254 160318 189672 240477 284508 320636 480954 561113 569016 641272 721431 961908 1122226 1442862 1683339 1923816 2244452 2885724 3366678 4488904 5050017 5771448 6733356 10100034 13466712 20200068 40400136