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201985740 = 2232511102013
BaseRepresentation
bin11000000101000…
…00111011001100
3112002001221100100
430002200323030
5403202020430
632013131100
75001564465
oct1402407314
9462057310
10201985740
11a4019970
1257789a90
1332b010b8
141cb7bd6c
1512aec960
hexc0a0ecc

201985740 has 72 divisors (see below), whose sum is σ = 668395728. Its totient is φ = 48965760.

The previous prime is 201985727. The next prime is 201985787. The reversal of 201985740 is 47589102.

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 = 201985695 and 201985704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49027 + ... + 52986.

It is an arithmetic number, because the mean of its divisors is an integer number (9283274).

Almost surely, 2201985740 is an apocalyptic number.

201985740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201985740 is an abundant number, since it is smaller than the sum of its proper divisors (466409988).

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

201985740 is a wasteful number, since it uses less digits than its factorization.

201985740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102039 (or 102034 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 201985740 is about 14212.1687296485. The cubic root of 201985740 is about 586.7326235819.

The spelling of 201985740 in words is "two hundred one million, nine hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 102013 204026 306039 408052 510065 612078 918117 1020130 1122143 1224156 1530195 1836234 2040260 2244286 3060390 3366429 3672468 4488572 4590585 5610715 6120780 6732858 9181170 10099287 11221430 13465716 16832145 18362340 20198574 22442860 33664290 40397148 50496435 67328580 100992870 201985740