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66198924 = 223311103541
BaseRepresentation
bin1111110010000…
…1110110001100
311121120020212000
43330201312030
5113421331144
610322512300
71432452531
oct374416614
9147506760
1066198924
1134405260
121a205690
131093a67c
148b12d88
155c29769
hex3f21d8c

66198924 has 96 divisors (see below), whose sum is σ = 189396480. Its totient is φ = 19828800.

The previous prime is 66198917. The next prime is 66198931. The reversal of 66198924 is 42989166.

It is a happy number.

66198924 is a `hidden beast` number, since 6 + 619 + 8 + 9 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (66198917) and next prime (66198931).

It is a self number, because there is not a number n which added to its sum of digits gives 66198924.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122094 + ... + 122634.

It is an arithmetic number, because the mean of its divisors is an integer number (1972880).

Almost surely, 266198924 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 66198924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94698240).

66198924 is an abundant number, since it is smaller than the sum of its proper divisors (123197556).

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

66198924 is a wasteful number, since it uses less digits than its factorization.

66198924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 66198924 is about 8136.2721193431. The cubic root of 66198924 is about 404.5296047533.

The spelling of 66198924 in words is "sixty-six million, one hundred ninety-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 541 594 618 927 1082 1133 1188 1236 1623 1854 2164 2266 2781 3246 3399 3708 4532 4869 5562 5951 6492 6798 9738 10197 11124 11902 13596 14607 17853 19476 20394 23804 29214 30591 35706 40788 53559 55723 58428 61182 71412 107118 111446 122364 160677 167169 214236 222892 321354 334338 501507 612953 642708 668676 1003014 1225906 1504521 1838859 2006028 2451812 3009042 3677718 5516577 6018084 7355436 11033154 16549731 22066308 33099462 66198924