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36916740 = 22325783353
BaseRepresentation
bin1000110011010…
…0111000000100
32120110120020200
42030310320010
533422313430
63355130500
7625533660
oct214647004
976416220
1036916740
1119925103
1210443a30
137857333
144c8d8a0
153393460
hex2334e04

36916740 has 144 divisors (see below), whose sum is σ = 129886848. Its totient is φ = 8312832.

The previous prime is 36916723. The next prime is 36916751. The reversal of 36916740 is 4761963.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36916695 and 36916704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104404 + ... + 104756.

It is an arithmetic number, because the mean of its divisors is an integer number (901992).

Almost surely, 236916740 is an apocalyptic number.

36916740 is a gapful number since it is divisible by the number (30) 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 36916740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64943424).

36916740 is an abundant number, since it is smaller than the sum of its proper divisors (92970108).

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

36916740 is a wasteful number, since it uses less digits than its factorization.

36916740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 36916740 is about 6075.9147459457. The cubic root of 36916740 is about 332.9720507885.

The spelling of 36916740 in words is "thirty-six million, nine hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 353 415 420 498 581 630 706 747 830 996 1059 1162 1245 1260 1412 1494 1660 1743 1765 2118 2324 2471 2490 2905 2988 3177 3486 3530 3735 4236 4942 4980 5229 5295 5810 6354 6972 7060 7413 7470 8715 9884 10458 10590 11620 12355 12708 14826 14940 15885 17430 20916 21180 22239 24710 26145 29299 29652 31770 34860 37065 44478 49420 52290 58598 63540 74130 87897 88956 104580 111195 117196 146495 148260 175794 205093 222390 263691 292990 351588 410186 439485 444780 527382 585980 615279 820372 878970 1025465 1054764 1230558 1318455 1757940 1845837 2050930 2461116 2636910 3076395 3691674 4101860 5273820 6152790 7383348 9229185 12305580 18458370 36916740