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661583640 = 233512743411
BaseRepresentation
bin100111011011101…
…111011100011000
31201002212221010210
4213123233130120
52323331134030
6145352011120
722252240164
oct4733573430
91632787123
10661583640
1130a4a0643
12165690aa0
13a70ab613
1463c17ca4
153d134bb0
hex276ef718

661583640 has 64 divisors (see below), whose sum is σ = 2000424960. Its totient is φ = 175029120.

The previous prime is 661583623. The next prime is 661583647. The reversal of 661583640 is 46385166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661583647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6466 + ... + 36945.

It is an arithmetic number, because the mean of its divisors is an integer number (31256640).

Almost surely, 2661583640 is an apocalyptic number.

661583640 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 661583640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000212480).

661583640 is an abundant number, since it is smaller than the sum of its proper divisors (1338841320).

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

661583640 is a wasteful number, since it uses less digits than its factorization.

661583640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43552 (or 43548 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 661583640 is about 25721.2682424487. The cubic root of 661583640 is about 871.3545816040.

The spelling of 661583640 in words is "six hundred sixty-one million, five hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 43411 86822 130233 173644 217055 260466 347288 434110 520932 651165 868220 1041864 1302330 1736440 2604660 5209320 5513197 11026394 16539591 22052788 27565985 33079182 44105576 55131970 66158364 82697955 110263940 132316728 165395910 220527880 330791820 661583640