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61073040 = 2435736353
BaseRepresentation
bin1110100011111…
…0011010010000
311020220211110110
43220332122100
5111113314130
610021001320
71341053340
oct350763220
9136824413
1061073040
1131524096
1218553240
13c8644c2
14817ad20
155565ab0
hex3a3e690

61073040 has 80 divisors (see below), whose sum is σ = 216379008. Its totient is φ = 13959168.

The previous prime is 61072969. The next prime is 61073057. The reversal of 61073040 is 4037016.

61073040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 61072998 and 61073016.

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, 16497 + ... + 19856.

Almost surely, 261073040 is an apocalyptic number.

61073040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61073040 is an abundant number, since it is smaller than the sum of its proper divisors (155305968).

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

61073040 is a wasteful number, since it uses less digits than its factorization.

61073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36376 (or 36370 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 61073040 is about 7814.9241838933. The cubic root of 61073040 is about 393.8067713557.

The spelling of 61073040 in words is "sixty-one million, seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 36353 72706 109059 145412 181765 218118 254471 290824 363530 436236 508942 545295 581648 727060 763413 872472 1017884 1090590 1272355 1454120 1526826 1744944 2035768 2181180 2544710 2908240 3053652 3817065 4071536 4362360 5089420 6107304 7634130 8724720 10178840 12214608 15268260 20357680 30536520 61073040