Search a number
-
+
73090944 = 273321149
BaseRepresentation
bin1000101101101…
…00011110000000
312002112101221000
410112310132000
5122202402234
611130332000
71545156063
oct426643600
9162471830
1073090944
1138292343
122058a000
13121b16a4
1499c88da
15663b899
hex45b4780

73090944 has 64 divisors (see below), whose sum is σ = 215730000. Its totient is φ = 24362496.

The previous prime is 73090937. The next prime is 73090957. The reversal of 73090944 is 44909037.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×730909442 = 10684572189622272, which contains 22 as substring.

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 = 73090899 and 73090908.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7119 + ... + 14030.

Almost surely, 273090944 is an apocalyptic number.

It is an amenable number.

73090944 is an abundant number, since it is smaller than the sum of its proper divisors (142639056).

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

73090944 is a wasteful number, since it uses less digits than its factorization.

73090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21172 (or 21154 counting only the distinct ones).

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

The square root of 73090944 is about 8549.3241838171. The cubic root of 73090944 is about 418.1074027865.

The spelling of 73090944 in words is "seventy-three million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 21149 42298 63447 84596 126894 169192 190341 253788 338384 380682 507576 571023 676768 761364 1015152 1142046 1353536 1522728 2030304 2284092 2707072 3045456 4060608 4568184 6090912 8121216 9136368 12181824 18272736 24363648 36545472 73090944