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69696072 = 23332314029
BaseRepresentation
bin1000010011101…
…11101001001000
311212010221001000
410021313221020
5120320233242
610525455000
71504256355
oct411675110
9155127030
1069696072
1136383766
121b411460
13115933a4
14938362c
1561baa4c
hex4277a48

69696072 has 64 divisors (see below), whose sum is σ = 202032000. Its totient is φ = 22220352.

The previous prime is 69696059. The next prime is 69696101. The reversal of 69696072 is 27069696.

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, 2047 + ... + 11982.

It is an arithmetic number, because the mean of its divisors is an integer number (3156750).

Almost surely, 269696072 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 69696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101016000).

69696072 is an abundant number, since it is smaller than the sum of its proper divisors (132335928).

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

69696072 is a wasteful number, since it uses less digits than its factorization.

69696072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067 (or 14057 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 69696072 is about 8348.4173350402. The cubic root of 69696072 is about 411.5312008358.

It can be divided in two parts, 6969 and 6072, that added together give a triangular number (13041 = T161).

The spelling of 69696072 in words is "sixty-nine million, six hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 14029 28058 42087 56116 84174 112232 126261 168348 252522 322667 336696 378783 505044 645334 757566 968001 1010088 1290668 1515132 1936002 2581336 2904003 3030264 3872004 5808006 7744008 8712009 11616012 17424018 23232024 34848036 69696072