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36830430 = 23357131499
BaseRepresentation
bin1000110001111…
…1110011011110
32120022011212000
42030133303132
533412033210
63353223130
7625024230
oct214376336
976264760
1036830430
111987627a
1210401aa6
137826c70
144c6a250
153377ac0
hex231fcde

36830430 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 7765632.

The previous prime is 36830411. The next prime is 36830447. The reversal of 36830430 is 3403863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36830394 and 36830403.

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, 23821 + ... + 25319.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 236830430 is an apocalyptic number.

36830430 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 36830430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

36830430 is an abundant number, since it is smaller than the sum of its proper divisors (84129570).

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

36830430 is a wasteful number, since it uses less digits than its factorization.

36830430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36830430 is about 6068.8079554390. The cubic root of 36830430 is about 332.7123561024.

The spelling of 36830430 in words is "thirty-six million, eight hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1499 1638 1755 1890 2457 2730 2998 3510 4095 4497 4914 7495 8190 8994 10493 12285 13491 14990 19487 20986 22485 24570 26982 31479 38974 40473 44970 52465 58461 62958 67455 80946 94437 97435 104930 116922 134910 136409 157395 175383 188874 194870 202365 272818 283311 292305 314790 350766 404730 409227 472185 526149 566622 584610 682045 818454 876915 944370 1052298 1227681 1364090 1416555 1753830 2046135 2455362 2630745 2833110 3683043 4092270 5261490 6138405 7366086 12276810 18415215 36830430