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108490752 = 21235109
BaseRepresentation
bin1100111011101…
…11000000000000
321120010220100000
412131313000000
5210233201002
614433200000
72455104366
oct635670000
9246126300
10108490752
1156270787
1230400000
1319627416
14105a1636
1597d061c
hex6777000

108490752 has 156 divisors (see below), whose sum is σ = 327967640. Its totient is φ = 35831808.

The previous prime is 108490721. The next prime is 108490777. The reversal of 108490752 is 257094801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995274 + ... + 995382.

Almost surely, 2108490752 is an apocalyptic number.

108490752 is a gapful number since it is divisible by the number (12) 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 108490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163983820).

108490752 is an abundant number, since it is smaller than the sum of its proper divisors (219476888).

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

108490752 is an frugal number, since it uses more digits than its factorization.

108490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

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

The square root of 108490752 is about 10415.8894003345. The cubic root of 108490752 is about 476.9405408264.

The spelling of 108490752 in words is "one hundred eight million, four hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 128 144 162 192 216 218 243 256 288 324 327 384 432 436 486 512 576 648 654 768 864 872 972 981 1024 1152 1296 1308 1536 1728 1744 1944 1962 2048 2304 2592 2616 2943 3072 3456 3488 3888 3924 4096 4608 5184 5232 5886 6144 6912 6976 7776 7848 8829 9216 10368 10464 11772 12288 13824 13952 15552 15696 17658 18432 20736 20928 23544 26487 27648 27904 31104 31392 35316 36864 41472 41856 47088 52974 55296 55808 62208 62784 70632 82944 83712 94176 105948 110592 111616 124416 125568 141264 165888 167424 188352 211896 223232 248832 251136 282528 331776 334848 376704 423792 446464 497664 502272 565056 669696 753408 847584 995328 1004544 1130112 1339392 1506816 1695168 2009088 2260224 3013632 3390336 4018176 4520448 6027264 6780672 9040896 12054528 13561344 18081792 27122688 36163584 54245376 108490752