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42570840 = 23351329941
BaseRepresentation
bin1010001001100…
…1010001011000
32222002211012210
42202121101120
541344231330
64120235120
71024563144
oct242312130
988084183
1042570840
1122037114
121230baa0
138a86a60
145922224
153b0d8b0
hex2899458

42570840 has 128 divisors (see below), whose sum is σ = 142430400. Its totient is φ = 10106880.

The previous prime is 42570799. The next prime is 42570883. The reversal of 42570840 is 4807524.

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 = 42570798 and 42570807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44770 + ... + 45710.

Almost surely, 242570840 is an apocalyptic number.

42570840 is a gapful number since it is divisible by the number (40) 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 42570840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71215200).

42570840 is an abundant number, since it is smaller than the sum of its proper divisors (99859560).

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

42570840 is a wasteful number, since it uses less digits than its factorization.

42570840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42570840 is about 6524.6333230305. The cubic root of 42570840 is about 349.1703888533.

The spelling of 42570840 in words is "forty-two million, five hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 941 1131 1160 1508 1560 1740 1882 1885 2262 2823 3016 3480 3764 3770 4524 4705 5646 5655 7528 7540 9048 9410 11292 11310 12233 14115 15080 18820 22584 22620 24466 27289 28230 36699 37640 45240 48932 54578 56460 61165 73398 81867 97864 109156 112920 122330 136445 146796 163734 183495 218312 244660 272890 293592 327468 354757 366990 409335 489320 545780 654936 709514 733980 818670 1064271 1091560 1419028 1467960 1637340 1773785 2128542 2838056 3274680 3547570 4257084 5321355 7095140 8514168 10642710 14190280 21285420 42570840