Search a number
-
+
69968920 = 2357283883
BaseRepresentation
bin1000010101110…
…10010000011000
311212122210022111
410022322100120
5120403001140
610535402104
71506504010
oct412722030
9155583274
1069968920
113654a75a
121b523334
131165a638
149414c40
1562217ea
hex42ba418

69968920 has 64 divisors (see below), whose sum is σ = 180760320. Its totient is φ = 23877504.

The previous prime is 69968911. The next prime is 69968933. The reversal of 69968920 is 2986996.

It is a happy number.

It is a congruent number.

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, 78799 + ... + 79681.

It is an arithmetic number, because the mean of its divisors is an integer number (2824380).

Almost surely, 269968920 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 69968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90380160).

69968920 is an abundant number, since it is smaller than the sum of its proper divisors (110791400).

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

69968920 is a wasteful number, since it uses less digits than its factorization.

69968920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 69968920 is about 8364.7426738663. The cubic root of 69968920 is about 412.0675259289.

The spelling of 69968920 in words is "sixty-nine million, nine hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 283 566 883 1132 1415 1766 1981 2264 2830 3532 3962 4415 5660 6181 7064 7924 8830 9905 11320 12362 15848 17660 19810 24724 30905 35320 39620 49448 61810 79240 123620 247240 249889 499778 999556 1249445 1749223 1999112 2498890 3498446 4997780 6996892 8746115 9995560 13993784 17492230 34984460 69968920