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69966996 = 223115373137
BaseRepresentation
bin1000010101110…
…01110010010100
311212122200200020
410022321302110
5120402420441
610535345140
71506465261
oct412716224
9155580606
1069966996
1136549270
121b5221b0
13116597b8
149414268
156220e66
hex42b9c94

69966996 has 96 divisors (see below), whose sum is σ = 185286528. Its totient is φ = 20367360.

The previous prime is 69966959. The next prime is 69967013.

69966996 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510640 + ... + 510776.

It is an arithmetic number, because the mean of its divisors is an integer number (1930068).

Almost surely, 269966996 is an apocalyptic number.

69966996 is a gapful number since it is divisible by the number (66) 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 69966996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92643264).

69966996 is an abundant number, since it is smaller than the sum of its proper divisors (115319532).

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

69966996 is a wasteful number, since it uses less digits than its factorization.

69966996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 60.

The square root of 69966996 is about 8364.6276665492. The cubic root of 69966996 is about 412.0637488939.

The spelling of 69966996 in words is "sixty-nine million, nine hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 73 106 132 137 146 159 212 219 274 292 318 411 438 548 583 636 803 822 876 1166 1507 1606 1644 1749 2332 2409 3014 3212 3498 3869 4521 4818 6028 6996 7261 7738 9042 9636 10001 11607 14522 15476 18084 20002 21783 23214 29044 30003 40004 42559 43566 46428 60006 79871 85118 87132 110011 120012 127677 159742 170236 220022 239613 255354 319484 330033 440044 479226 510708 530053 660066 958452 1060106 1320132 1590159 2120212 3180318 5830583 6360636 11661166 17491749 23322332 34983498 69966996