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10940436 = 22321397241
BaseRepresentation
bin101001101111…
…000000010100
3202120211110100
4221233000110
510300043221
61030254100
7161664213
oct51570024
922524410
1010940436
1161a2791
1237b7330
132360940
14164b07a
15e61926
hexa6f014

10940436 has 72 divisors (see below), whose sum is σ = 30214184. Its totient is φ = 3317760.

The previous prime is 10940431. The next prime is 10940441. The reversal of 10940436 is 63404901.

It is an interprime number because it is at equal distance from previous prime (10940431) and next prime (10940441).

It can be written as a sum of positive squares in 4 ways, for example, as 980100 + 9960336 = 990^2 + 3156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940431) 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, 45276 + ... + 45516.

Almost surely, 210940436 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 10940436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107092).

10940436 is an abundant number, since it is smaller than the sum of its proper divisors (19273748).

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

10940436 is a wasteful number, since it uses less digits than its factorization.

10940436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10940436 is about 3307.6329905236. The cubic root of 10940436 is about 221.9958606484.

The spelling of 10940436 in words is "ten million, nine hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 241 291 388 468 482 582 723 873 964 1164 1261 1446 1746 2169 2522 2892 3133 3492 3783 4338 5044 6266 7566 8676 9399 11349 12532 15132 18798 22698 23377 28197 37596 45396 46754 56394 70131 93508 112788 140262 210393 280524 303901 420786 607802 841572 911703 1215604 1823406 2735109 3646812 5470218 10940436