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24697940 = 2251724273
BaseRepresentation
bin101111000110…
…1110001010100
31201110210012112
41132031301110
522310313230
62241210152
7416633441
oct136156124
951423175
1024697940
1112a39a23
128330958
135169887
1433cc9c8
15227cd95
hex178dc54

24697940 has 36 divisors (see below), whose sum is σ = 55108956. Its totient is φ = 9295872.

The previous prime is 24697927. The next prime is 24697943. The reversal of 24697940 is 4979642.

It can be written as a sum of positive squares in 6 ways, for example, as 274576 + 24423364 = 524^2 + 4942^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24697943) 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 11 ways as a sum of consecutive naturals, for example, 3644 + ... + 7916.

Almost surely, 224697940 is an apocalyptic number.

24697940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24697940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554478).

24697940 is an abundant number, since it is smaller than the sum of its proper divisors (30411016).

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

24697940 is a wasteful number, since it uses less digits than its factorization.

24697940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 24697940 is about 4969.7022043579. The cubic root of 24697940 is about 291.2193604294.

The spelling of 24697940 in words is "twenty-four million, six hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 4273 5780 8546 17092 21365 42730 72641 85460 145282 290564 363205 726410 1234897 1452820 2469794 4939588 6174485 12348970 24697940