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36920070 = 23351131401
BaseRepresentation
bin1000110011010…
…1101100000110
32120110201211000
42030311230012
533422420240
63355154130
7625546455
oct214655406
976421730
1036920070
1119927660
1210445946
1378589c5
144c90b9c
153394430
hex2335b06

36920070 has 128 divisors (see below), whose sum is σ = 111144960. Its totient is φ = 8640000.

The previous prime is 36920069. The next prime is 36920099. The reversal of 36920070 is 7002963.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91870 + ... + 92270.

It is an arithmetic number, because the mean of its divisors is an integer number (868320).

Almost surely, 236920070 is an apocalyptic number.

36920070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36920070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55572480).

36920070 is an abundant number, since it is smaller than the sum of its proper divisors (74224890).

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

36920070 is a wasteful number, since it uses less digits than its factorization.

36920070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 36920070 is about 6076.1887725778. The cubic root of 36920070 is about 332.9820621780.

The spelling of 36920070 in words is "thirty-six million, nine hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 401 465 495 558 594 682 802 837 930 990 1023 1203 1395 1485 1674 1705 2005 2046 2406 2790 2970 3069 3410 3609 4010 4185 4411 5115 6015 6138 7218 8370 8822 9207 10230 10827 12030 12431 13233 15345 18045 18414 21654 22055 24862 26466 30690 36090 37293 39699 44110 46035 54135 62155 66165 74586 79398 92070 108270 111879 119097 124310 132330 136741 186465 198495 223758 238194 273482 335637 372930 396990 410223 559395 595485 671274 683705 820446 1118790 1190970 1230669 1367410 1678185 2051115 2461338 3356370 3692007 4102230 6153345 7384014 12306690 18460035 36920070