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661068432 = 2433101109139
BaseRepresentation
bin100111011001110…
…001101010010000
31201001220202102000
4213121301222100
52323213142212
6145332554000
722244663133
oct4731615220
91631822360
10661068432
1130a179552
12165482900
13a6c5ac6b
1463b2221a
153d0821dc
hex27671a90

661068432 has 160 divisors (see below), whose sum is σ = 1947792000. Its totient is φ = 214617600.

The previous prime is 661068389. The next prime is 661068437. The reversal of 661068432 is 234860166.

661068432 is a `hidden beast` number, since 6 + 610 + 6 + 8 + 4 + 32 = 666.

It is a super-2 number, since 2×6610684322 = 874022943573877248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661068437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4755819 + ... + 4755957.

It is an arithmetic number, because the mean of its divisors is an integer number (12173700).

Almost surely, 2661068432 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 661068432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973896000).

661068432 is an abundant number, since it is smaller than the sum of its proper divisors (1286723568).

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

661068432 is a wasteful number, since it uses less digits than its factorization.

661068432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 661068432 is about 25711.2510780786. The cubic root of 661068432 is about 871.1283338509.

The spelling of 661068432 in words is "six hundred sixty-one million, sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 109 139 144 202 216 218 278 303 327 404 417 432 436 556 606 654 808 834 872 909 981 1112 1212 1251 1308 1616 1668 1744 1818 1962 2224 2424 2502 2616 2727 2943 3336 3636 3753 3924 4848 5004 5232 5454 5886 6672 7272 7506 7848 10008 10908 11009 11772 14039 14544 15012 15151 15696 20016 21816 22018 23544 28078 30024 30302 33027 42117 43632 44036 45453 47088 56156 60048 60604 66054 84234 88072 90906 99081 112312 121208 126351 132108 136359 168468 176144 181812 198162 224624 242416 252702 264216 272718 297243 336936 363624 379053 396324 409077 505404 528432 545436 594486 673872 727248 758106 792648 818154 1010808 1090872 1188972 1516212 1530251 1585296 1636308 2021616 2181744 2377944 3032424 3060502 3272616 4590753 4755888 6064848 6121004 6545232 9181506 12242008 13772259 18363012 24484016 27544518 36726024 41316777 55089036 73452048 82633554 110178072 165267108 220356144 330534216 661068432