Search a number
-
+
20354965960 = 2357233160709
BaseRepresentation
bin10010111101010000…
…000010000111001000
31221112120110102000011
4102331100002013020
5313141332402320
613203445321304
71320262233040
oct227520020710
957476412004
1020354965960
1186a593621a
123b40a06234
131bc50ac274
14db14c6720
157e1ed605a
hex4bd4021c8

20354965960 has 64 divisors (see below), whose sum is σ = 54617068800. Its totient is φ = 6675415296.

The previous prime is 20354965919. The next prime is 20354965973. The reversal of 20354965960 is 6956945302.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573915 + ... + 1586794.

It is an arithmetic number, because the mean of its divisors is an integer number (853391700).

Almost surely, 220354965960 is an apocalyptic number.

20354965960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20354965960 is an abundant number, since it is smaller than the sum of its proper divisors (34262102840).

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

20354965960 is a wasteful number, since it uses less digits than its factorization.

20354965960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160750 (or 3160746 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 20354965960 in words is "twenty billion, three hundred fifty-four million, nine hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 3160709 6321418 12642836 15803545 22124963 25285672 31607090 44249926 63214180 72696307 88499852 110624815 126428360 145392614 176999704 221249630 290785228 363481535 442499260 508874149 581570456 726963070 884998520 1017748298 1453926140 2035496596 2544370745 2907852280 4070993192 5088741490 10177482980 20354965960