[go: up one dir, main page]

Search a number
-
+
67873740 = 22351129349
BaseRepresentation
bin1000000101110…
…10101111001100
311201201100021020
410002322233030
5114333424430
610422434140
71452626424
oct402725714
9151640236
1067873740
1135349600
121a892950
13110a5a9c
14902b484
155e5ab10
hex40babcc

67873740 has 72 divisors (see below), whose sum is σ = 208916400. Its totient is φ = 16452480.

The previous prime is 67873739. The next prime is 67873783. The reversal of 67873740 is 4737876.

It is a junction number, because it is equal to n+sod(n) for n = 67873692 and 67873701.

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 23 ways as a sum of consecutive naturals, for example, 2586 + ... + 11934.

Almost surely, 267873740 is an apocalyptic number.

67873740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67873740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104458200).

67873740 is an abundant number, since it is smaller than the sum of its proper divisors (141042660).

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

67873740 is a wasteful number, since it uses less digits than its factorization.

67873740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 67873740 is about 8238.5520572489. The cubic root of 67873740 is about 407.9127312389.

The spelling of 67873740 in words is "sixty-seven million, eight hundred seventy-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 9349 18698 28047 37396 46745 56094 93490 102839 112188 140235 186980 205678 280470 308517 411356 514195 560940 617034 1028390 1131229 1234068 1542585 2056780 2262458 3085170 3393687 4524916 5656145 6170340 6787374 11312290 13574748 16968435 22624580 33936870 67873740