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235153040 = 2454171693
BaseRepresentation
bin11100000010000…
…10011010010000
3121101111000022212
432001002122100
5440144344130
635200051252
75553524243
oct1601023220
9541430285
10235153040
11110812a61
1266903b28
1339944915
142333325a
151599ee95
hexe042690

235153040 has 40 divisors (see below), whose sum is σ = 560073528. Its totient is φ = 91765760.

The previous prime is 235153033. The next prime is 235153043. The reversal of 235153040 is 40351532.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 231404944 = 1936^2 + 15212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 235152997 and 235153015.

It is not an unprimeable number, because it can be changed into a prime (235153043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32567 + ... + 39126.

Almost surely, 2235153040 is an apocalyptic number.

235153040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235153040 is an abundant number, since it is smaller than the sum of its proper divisors (324920488).

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

235153040 is a wasteful number, since it uses less digits than its factorization.

235153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71747 (or 71741 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 235153040 is about 15334.7005187581. The cubic root of 235153040 is about 617.2345091769.

The spelling of 235153040 in words is "two hundred thirty-five million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 71693 143386 286772 358465 573544 716930 1147088 1433860 2867720 2939413 5735440 5878826 11757652 14697065 23515304 29394130 47030608 58788260 117576520 235153040