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102029840 = 2451123712
BaseRepresentation
bin1100001010011…
…01101000010000
321002222122121222
412011031220100
5202104423330
614042504212
72346145043
oct605155020
9232878558
10102029840
1152658590
122a205068
13181a46b3
14d79cc5a
158e560e5
hex614da10

102029840 has 120 divisors (see below), whose sum is σ = 273893184. Its totient is φ = 34988800.

The previous prime is 102029839. The next prime is 102029857. The reversal of 102029840 is 48920201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437005 + ... + 1437075.

Almost surely, 2102029840 is an apocalyptic number.

102029840 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 102029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136946592).

102029840 is an abundant number, since it is smaller than the sum of its proper divisors (171863344).

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

102029840 is a wasteful number, since it uses less digits than its factorization.

102029840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 102029840 is about 10100.9821304663. The cubic root of 102029840 is about 467.2784312328.

The spelling of 102029840 in words is "one hundred two million, twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 71 80 88 92 110 115 142 176 184 220 230 253 284 355 368 440 460 506 568 710 781 880 920 1012 1136 1265 1420 1562 1633 1840 2024 2530 2840 3124 3266 3905 4048 5041 5060 5680 6248 6532 7810 8165 10082 10120 12496 13064 15620 16330 17963 20164 20240 25205 26128 31240 32660 35926 40328 50410 55451 62480 65320 71852 80656 89815 100820 110902 115943 130640 143704 179630 201640 221804 231886 277255 287408 359260 403280 443608 463772 554510 579715 718520 887216 927544 1109020 1159430 1275373 1437040 1855088 2218040 2318860 2550746 4436080 4637720 5101492 6376865 9275440 10202984 12753730 20405968 25507460 51014920 102029840