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106260240 = 24353731187
BaseRepresentation
bin1100101010101…
…10011100010000
321101221120122110
412111112130100
5204200311430
614313305320
72430124422
oct625263420
9241846573
10106260240
1154a87989
122b705240
13190260a8
1410180812
1594de7b0
hex6556710

106260240 has 80 divisors (see below), whose sum is σ = 330568128. Its totient is φ = 28236288.

The previous prime is 106260221. The next prime is 106260277. The reversal of 106260240 is 42062601.

It is a happy number.

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

It is a super-2 number, since 2×1062602402 = 22582477209715200, which contains 22 as substring.

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, 88927 + ... + 90113.

Almost surely, 2106260240 is an apocalyptic number.

106260240 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 106260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165284064).

106260240 is an abundant number, since it is smaller than the sum of its proper divisors (224307888).

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

106260240 is a wasteful number, since it uses less digits than its factorization.

106260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106260240 is about 10308.2607650369. The cubic root of 106260240 is about 473.6493338324.

The spelling of 106260240 in words is "one hundred six million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1187 1492 1865 2238 2374 2984 3561 3730 4476 4748 5595 5935 5968 7122 7460 8952 9496 11190 11870 14244 14920 17805 17904 18992 22380 23740 28488 29840 35610 44760 47480 56976 71220 89520 94960 142440 284880 442751 885502 1328253 1771004 2213755 2656506 3542008 4427510 5313012 6641265 7084016 8855020 10626024 13282530 17710040 21252048 26565060 35420080 53130120 106260240