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661017024 = 2634472713
BaseRepresentation
bin100111011001100…
…101000111000000
31201001211010220000
4213121211013000
52323210021044
6145331520000
722244360223
oct4731450700
91631733800
10661017024
1130a143968
12165459000
13a6c40745
1463b0b5ba
153d071d69
hex276651c0

661017024 has 140 divisors (see below), whose sum is σ = 2001889824. Its totient is φ = 215571456.

The previous prime is 661017017. The next prime is 661017043. The reversal of 661017024 is 420710166.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 242292 + ... + 245004.

Almost surely, 2661017024 is an apocalyptic number.

661017024 is a gapful number since it is divisible by the number (64) 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 661017024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000944912).

661017024 is an abundant number, since it is smaller than the sum of its proper divisors (1340872800).

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

661017024 is a wasteful number, since it uses less digits than its factorization.

661017024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 661017024 is about 25710.2513406618. The cubic root of 661017024 is about 871.1057521613.

The spelling of 661017024 in words is "six hundred sixty-one million, seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 141 144 162 188 192 216 282 288 324 376 423 432 564 576 648 752 846 864 1128 1269 1296 1504 1692 1728 2256 2538 2592 2713 3008 3384 3807 4512 5076 5184 5426 6768 7614 8139 9024 10152 10852 13536 15228 16278 20304 21704 24417 27072 30456 32556 40608 43408 48834 60912 65112 73251 81216 86816 97668 121824 127511 130224 146502 173632 195336 219753 243648 255022 260448 293004 382533 390672 439506 510044 520896 586008 765066 781344 879012 1020088 1147599 1172016 1530132 1562688 1758024 2040176 2295198 2344032 3060264 3442797 3516048 4080352 4590396 4688064 6120528 6885594 7032096 8160704 9180792 10328391 12241056 13771188 14064192 18361584 20656782 24482112 27542376 36723168 41313564 55084752 73446336 82627128 110169504 165254256 220339008 330508512 661017024