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661145320 = 235115328351
BaseRepresentation
bin100111011010000…
…100011011101000
31201002001122212201
4213122010123220
52323223122240
6145334345544
722245433243
oct4732043350
91632048781
10661145320
1130a2212a0
121654bb2b4
13a6c86c64
1463b4225a
153d099d9a
hex276846e8

661145320 has 64 divisors (see below), whose sum is σ = 1653488640. Its totient is φ = 235872000.

The previous prime is 661145297. The next prime is 661145357. The reversal of 661145320 is 23541166.

It is a super-2 number, since 2×6611453202 = 874226268315804800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9145 + ... + 37495.

It is an arithmetic number, because the mean of its divisors is an integer number (25835760).

Almost surely, 2661145320 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 661145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826744320).

661145320 is an abundant number, since it is smaller than the sum of its proper divisors (992343320).

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

661145320 is a wasteful number, since it uses less digits than its factorization.

661145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28426 (or 28422 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 661145320 is about 25712.7462555053. The cubic root of 661145320 is about 871.1621058052.

Adding to 661145320 its reverse (23541166), we get a palindrome (684686486).

The spelling of 661145320 in words is "six hundred sixty-one million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 28351 56702 113404 141755 226808 283510 311861 567020 623722 1134040 1247444 1502603 1559305 2494888 3005206 3118610 6010412 6237220 7513015 12020824 12474440 15026030 16528633 30052060 33057266 60104120 66114532 82643165 132229064 165286330 330572660 661145320