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240690772 = 22737379613
BaseRepresentation
bin11100101100010…
…10011001010100
3121202220100200001
432112022121110
5443104101042
635514501044
75651560240
oct1626123124
9552810601
10240690772
111139555a3
1268734784
133ab3339a
1423d75420
15161e5bb7
hexe58a654

240690772 has 48 divisors (see below), whose sum is σ = 496504960. Its totient is φ = 99937152.

The previous prime is 240690761. The next prime is 240690773. The reversal of 240690772 is 277096042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240690773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392338 + ... + 392950.

Almost surely, 2240690772 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 240690772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248252480).

240690772 is an abundant number, since it is smaller than the sum of its proper divisors (255814188).

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

240690772 is a wasteful number, since it uses less digits than its factorization.

240690772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 240690772 is about 15514.2119361571. The cubic root of 240690772 is about 622.0421493134.

The spelling of 240690772 in words is "two hundred forty million, six hundred ninety thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 37 74 148 259 379 518 613 758 1036 1226 1516 2452 2653 4291 5306 8582 10612 14023 17164 22681 28046 45362 56092 90724 98161 158767 196322 232327 317534 392644 464654 635068 929308 1626289 3252578 6505156 8596099 17192198 34384396 60172693 120345386 240690772