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671542960 = 245112333179
BaseRepresentation
bin101000000001101…
…110111010110000
31201210121220202111
4220001232322300
52333403333320
6150345255104
722433010124
oct5001567260
91653556674
10671542960
11315083190
12168a94494
13a91877ca
146528b584
153de50a5a
hex2806eeb0

671542960 has 80 divisors (see below), whose sum is σ = 1777386240. Its totient is φ = 233573120.

The previous prime is 671542951. The next prime is 671542967. The reversal of 671542960 is 69245176.

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 (40).

It is not an unprimeable number, because it can be changed into a prime (671542967) by changing a digit.

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, 3651 + ... + 36829.

It is an arithmetic number, because the mean of its divisors is an integer number (22217328).

Almost surely, 2671542960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888693120).

671542960 is an abundant number, since it is smaller than the sum of its proper divisors (1105843280).

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

671542960 is a wasteful number, since it uses less digits than its factorization.

671542960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33226 (or 33220 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 671542960 is about 25914.1459438663. The cubic root of 671542960 is about 875.7052099837.

The spelling of 671542960 in words is "six hundred seventy-one million, five hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 33179 66358 132716 165895 265432 331790 364969 530864 663580 729938 763117 1327160 1459876 1526234 1824845 2654320 2919752 3052468 3649690 3815585 5839504 6104936 7299380 7631170 8394287 12209872 14598760 15262340 16788574 29197520 30524680 33577148 41971435 61049360 67154296 83942870 134308592 167885740 335771480 671542960