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669977100 = 22325213173331
BaseRepresentation
bin100111111011110…
…000101000001100
31201200200100210200
4213323300220030
52333003231400
6150251533500
722413466002
oct4773605014
91650610720
10669977100
11314203791
1216845a290
13a8a59b70
1464da0a72
153dc41b00
hex27ef0a0c

669977100 has 216 divisors, whose sum is σ = 2281489392. Its totient is φ = 163468800.

The previous prime is 669977083. The next prime is 669977173. The reversal of 669977100 is 1779966.

669977100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2023935 + ... + 2024265.

Almost surely, 2669977100 is an apocalyptic number.

669977100 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 669977100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140744696).

669977100 is an abundant number, since it is smaller than the sum of its proper divisors (1611512292).

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

669977100 is a wasteful number, since it uses less digits than its factorization.

669977100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 669977100 is about 25883.9158552179. The cubic root of 669977100 is about 875.0240428768.

The spelling of 669977100 in words is "six hundred sixty-nine million, nine hundred seventy-seven thousand, one hundred".