Search a number
-
+
40370112 = 2632109643
BaseRepresentation
bin1001100111111…
…1111111000000
32210222000101100
42121333333000
540313320422
64001134400
71000066056
oct231777700
983860340
1040370112
1120873732
121162a400
138496153
14550c1d6
1538267ac
hex267ffc0

40370112 has 84 divisors (see below), whose sum is σ = 116956840. Its totient is φ = 13312512.

The previous prime is 40370107. The next prime is 40370119. The reversal of 40370112 is 21107304.

Added to its reverse (21107304) it gives a triangular number (61477416 = T11088).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40370119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62463 + ... + 63105.

Almost surely, 240370112 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 40370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58478420).

40370112 is an abundant number, since it is smaller than the sum of its proper divisors (76586728).

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

40370112 is a wasteful number, since it uses less digits than its factorization.

40370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40370112 is about 6353.7478703518. The cubic root of 40370112 is about 343.0467570210.

Adding to 40370112 its reverse (21107304), we get a palindrome (61477416).

The spelling of 40370112 in words is "forty million, three hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 576 643 654 872 981 1286 1308 1744 1929 1962 2572 2616 3488 3858 3924 5144 5232 5787 6976 7716 7848 10288 10464 11574 15432 15696 20576 20928 23148 30864 31392 41152 46296 61728 62784 70087 92592 123456 140174 185184 210261 280348 370368 420522 560696 630783 841044 1121392 1261566 1682088 2242784 2523132 3364176 4485568 5046264 6728352 10092528 13456704 20185056 40370112