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83070840 = 23351743947
BaseRepresentation
bin1001111001110…
…00111101111000
312210022102202210
410330320331320
5132231231330
612124255120
72026043016
oct474707570
9183272683
1083070840
1142989396
12239a14a0
1314297058
14b0658b6
15745d8b0
hex4f38f78

83070840 has 128 divisors (see below), whose sum is σ = 270293760. Its totient is φ = 20342784.

The previous prime is 83070833. The next prime is 83070851. The reversal of 83070840 is 4807038.

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 = 83070798 and 83070807.

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, 87247 + ... + 88193.

It is an arithmetic number, because the mean of its divisors is an integer number (2111670).

Almost surely, 283070840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83070840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135146880).

83070840 is an abundant number, since it is smaller than the sum of its proper divisors (187222920).

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

83070840 is a wasteful number, since it uses less digits than its factorization.

83070840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 83070840 is about 9114.3206000228. The cubic root of 83070840 is about 436.3311318907.

Adding to 83070840 its reverse (4807038), we get a palindrome (87877878).

The spelling of 83070840 in words is "eighty-three million, seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 947 1020 1032 1290 1462 1720 1894 2040 2193 2580 2841 2924 3655 3788 4386 4735 5160 5682 5848 7310 7576 8772 9470 10965 11364 14205 14620 16099 17544 18940 21930 22728 28410 29240 32198 37880 40721 43860 48297 56820 64396 80495 81442 87720 96594 113640 122163 128792 160990 162884 193188 203605 241485 244326 321980 325768 386376 407210 482970 488652 610815 643960 692257 814420 965940 977304 1221630 1384514 1628840 1931880 2076771 2443260 2769028 3461285 4153542 4886520 5538056 6922570 8307084 10383855 13845140 16614168 20767710 27690280 41535420 83070840