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42390840 = 23352315359
BaseRepresentation
bin1010000110110…
…1010100111000
32221202200022010
42201231110320
541323001330
64112325520
71023213312
oct241552470
987680263
1042390840
1121a23958
12122438a0
138a22b4b
1458b67b2
153ac53b0
hex286d538

42390840 has 64 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 10812032.

The previous prime is 42390827. The next prime is 42390841. The reversal of 42390840 is 4809324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42390798 and 42390807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42390841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4920 + ... + 10439.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 242390840 is an apocalyptic number.

42390840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42390840 is an abundant number, since it is smaller than the sum of its proper divisors (90319560).

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

42390840 is a wasteful number, since it uses less digits than its factorization.

42390840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42390840 is about 6510.8248325385. The cubic root of 42390840 is about 348.6775674653.

The spelling of 42390840 in words is "forty-two million, three hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 15359 30718 46077 61436 76795 92154 122872 153590 184308 230385 307180 353257 368616 460770 614360 706514 921540 1059771 1413028 1766285 1843080 2119542 2826056 3532570 4239084 5298855 7065140 8478168 10597710 14130280 21195420 42390840