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4020248880 = 2432543129853
BaseRepresentation
bin1110111110100000…
…0010000100110000
3101101011210210200200
43233220002010300
531213140431010
61502531515200
7201424360134
oct35750020460
911334723620
104020248880
11178336453a
12942458b00
134c0b911bb
142a1d053c4
15187e24cc0
hexefa02130

4020248880 has 120 divisors (see below), whose sum is σ = 13815426768. Its totient is φ = 1047126528.

The previous prime is 4020248861. The next prime is 4020248887. The reversal of 4020248880 is 888420204.

4020248880 is a `hidden beast` number, since 402 + 0 + 248 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4020248887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33967 + ... + 95886.

Almost surely, 24020248880 is an apocalyptic number.

4020248880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020248880 is an abundant number, since it is smaller than the sum of its proper divisors (9795177888).

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

4020248880 is a wasteful number, since it uses less digits than its factorization.

4020248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129915 (or 129906 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4020248880 is about 63405.4325748196. The cubic root of 4020248880 is about 1590.0751358822.

The spelling of 4020248880 in words is "four billion, twenty million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 129853 259706 389559 519412 649265 779118 1038824 1168677 1298530 1558236 1947795 2077648 2337354 2597060 3116472 3895590 4674708 5194120 5583679 5843385 6232944 7791180 9349416 10388240 11167358 11686770 15582360 16751037 18698832 22334716 23373540 27918395 31164720 33502074 44669432 46747080 50253111 55836790 67004148 83755185 89338864 93494160 100506222 111673580 134008296 167510370 201012444 223347160 251265555 268016592 335020740 402024888 446694320 502531110 670041480 804049776 1005062220 1340082960 2010124440 4020248880