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108542970 = 2335735507
BaseRepresentation
bin1100111100000…
…11101111111010
321120020112222000
412132003233322
5210241333340
614434241430
72455412544
oct636035772
9246215860
10108542970
11562a6a38
1230426276
1319645113
14105b6694
1597e0d30
hex6783bfa

108542970 has 64 divisors (see below), whose sum is σ = 293466240. Its totient is φ = 28543104.

The previous prime is 108542939. The next prime is 108542981. The reversal of 108542970 is 79245801.

108542970 is a `hidden beast` number, since 108 + 542 + 9 + 7 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16957 + ... + 22463.

It is an arithmetic number, because the mean of its divisors is an integer number (4585410).

Almost surely, 2108542970 is an apocalyptic number.

108542970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108542970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146733120).

108542970 is an abundant number, since it is smaller than the sum of its proper divisors (184923270).

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

108542970 is a wasteful number, since it uses less digits than its factorization.

108542970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 108542970 is about 10418.3957498264. The cubic root of 108542970 is about 477.0170477670.

It can be divided in two parts, 10854 and 2970, that added together give a cube (13824 = 243).

The spelling of 108542970 in words is "one hundred eight million, five hundred forty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 5507 6570 9855 11014 16521 19710 27535 33042 49563 55070 82605 99126 148689 165210 247815 297378 402011 495630 743445 804022 1206033 1486890 2010055 2412066 3618099 4020110 6030165 7236198 10854297 12060330 18090495 21708594 36180990 54271485 108542970