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25742070 = 2335671423
BaseRepresentation
bin110001000110…
…0101011110110
31210102211111000
41202030223312
523042221240
62315424130
7431542524
oct142145366
953384430
1025742070
1113592442
128755046
135443bc3
1435c1314
1523d7430
hex188caf6

25742070 has 64 divisors (see below), whose sum is σ = 69719040. Its totient is φ = 6757344.

The previous prime is 25742039. The next prime is 25742081. The reversal of 25742070 is 7024752.

25742070 is a `hidden beast` number, since 2 + 574 + 20 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17379 + ... + 18801.

It is an arithmetic number, because the mean of its divisors is an integer number (1089360).

Almost surely, 225742070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25742070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859520).

25742070 is an abundant number, since it is smaller than the sum of its proper divisors (43976970).

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

25742070 is a wasteful number, since it uses less digits than its factorization.

25742070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 25742070 is about 5073.6643562617. The cubic root of 25742070 is about 295.2667127299.

The spelling of 25742070 in words is "twenty-five million, seven hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1423 1809 2010 2846 3015 3618 4269 6030 7115 8538 9045 12807 14230 18090 21345 25614 38421 42690 64035 76842 95341 128070 190682 192105 286023 384210 476705 572046 858069 953410 1430115 1716138 2574207 2860230 4290345 5148414 8580690 12871035 25742070