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169211920 = 24523412243
BaseRepresentation
bin10100001010111…
…11100000010000
3102210101212010011
422011133200100
5321304240140
624442444304
74123164133
oct1205374020
9383355104
10169211920
1187574469
1248803694
13290976c7
141868a21a
15ecc6cea
hexa15f810

169211920 has 80 divisors (see below), whose sum is σ = 420723072. Its totient is φ = 63134720.

The previous prime is 169211909. The next prime is 169211947. The reversal of 169211920 is 29112961.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74319 + ... + 76561.

Almost surely, 2169211920 is an apocalyptic number.

169211920 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 169211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210361536).

169211920 is an abundant number, since it is smaller than the sum of its proper divisors (251511152).

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

169211920 is a wasteful number, since it uses less digits than its factorization.

169211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 169211920 is about 13008.1482156378. The cubic root of 169211920 is about 553.1084810839.

The spelling of 169211920 in words is "one hundred sixty-nine million, two hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 368 410 460 656 820 920 943 1640 1840 1886 2243 3280 3772 4486 4715 7544 8972 9430 11215 15088 17944 18860 22430 35888 37720 44860 51589 75440 89720 91963 103178 179440 183926 206356 257945 367852 412712 459815 515890 735704 825424 919630 1031780 1471408 1839260 2063560 2115149 3678520 4127120 4230298 7357040 8460596 10575745 16921192 21151490 33842384 42302980 84605960 169211920