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69948960 = 2535433389
BaseRepresentation
bin1000010101101…
…01011000100000
311212121202221020
410022311120200
5120401331320
610535125440
71506361554
oct412653040
9155552836
1069948960
1136536764
121b513880
1311651523
14940b864
15621a940
hex42b5620

69948960 has 96 divisors (see below), whose sum is σ = 225529920. Its totient is φ = 18213888.

The previous prime is 69948959. The next prime is 69948971. The reversal of 69948960 is 6984996.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18946 + ... + 22334.

It is an arithmetic number, because the mean of its divisors is an integer number (2349270).

Almost surely, 269948960 is an apocalyptic number.

69948960 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 69948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112764960).

69948960 is an abundant number, since it is smaller than the sum of its proper divisors (155580960).

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

69948960 is a wasteful number, since it uses less digits than its factorization.

69948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 69948960 is about 8363.5494857148. The cubic root of 69948960 is about 412.0283387677.

The spelling of 69948960 in words is "sixty-nine million, nine hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3389 3440 4128 5160 6778 6880 10167 10320 13556 16945 20334 20640 27112 33890 40668 50835 54224 67780 81336 101670 108448 135560 145727 162672 203340 271120 291454 325344 406680 437181 542240 582908 728635 813360 874362 1165816 1457270 1626720 1748724 2185905 2331632 2914540 3497448 4371810 4663264 5829080 6994896 8743620 11658160 13989792 17487240 23316320 34974480 69948960