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164969480 = 235132811129
BaseRepresentation
bin10011101010100…
…11110000001000
3102111102022120202
421311103300020
5314213010410
624211511332
74042134404
oct1165236010
9374368522
10164969480
1185137015
12472b8548
13282406a0
1417ca4104
15e739ca5
hex9d53c08

164969480 has 64 divisors (see below), whose sum is σ = 401511600. Its totient is φ = 60641280.

The previous prime is 164969449. The next prime is 164969503. The reversal of 164969480 is 84969461.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20921476 + 144048004 = 4574^2 + 12002^2 .

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, 145556 + ... + 146684.

Almost surely, 2164969480 is an apocalyptic number.

164969480 is a gapful number since it is divisible by the number (10) 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 164969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200755800).

164969480 is an abundant number, since it is smaller than the sum of its proper divisors (236542120).

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

164969480 is a wasteful number, since it uses less digits than its factorization.

164969480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 164969480 is about 12844.0445343357. The cubic root of 164969480 is about 548.4468357244.

The spelling of 164969480 in words is "one hundred sixty-four million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 281 520 562 1124 1129 1405 2248 2258 2810 3653 4516 5620 5645 7306 9032 11240 11290 14612 14677 18265 22580 29224 29354 36530 45160 58708 73060 73385 117416 146120 146770 293540 317249 587080 634498 1268996 1586245 2537992 3172490 4124237 6344980 8248474 12689960 16496948 20621185 32993896 41242370 82484740 164969480