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4026501120 = 21135131071
BaseRepresentation
bin1110111111111111…
…1000100000000000
3101101121120110011010
43233333320200000
531221241013440
61503313520520
7201531460215
oct35777704000
911347513133
104026501120
111786944984
12944573140
134c226cc55
142a2a91b0c
1518875c580
hexefff8800

4026501120 has 96 divisors (see below), whose sum is σ = 12881756160. Its totient is φ = 1073725440.

The previous prime is 4026501097. The next prime is 4026501133. The reversal of 4026501120 is 211056204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40265011202 = 32425422538722508800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 34816 + ... + 96255.

It is an arithmetic number, because the mean of its divisors is an integer number (134184960).

Almost surely, 24026501120 is an apocalyptic number.

4026501120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4026501120 is an abundant number, since it is smaller than the sum of its proper divisors (8855255040).

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

4026501120 is a wasteful number, since it uses less digits than its factorization.

4026501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131101 (or 131081 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4026501120 is about 63454.7170823415. The cubic root of 4026501120 is about 1590.8989971624.

Adding to 4026501120 its reverse (211056204), we get a palindrome (4237557324).

The spelling of 4026501120 in words is "four billion, twenty-six million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 131071 262142 393213 524284 655355 786426 1048568 1310710 1572852 1966065 2097136 2621420 3145704 3932130 4194272 5242840 6291408 7864260 8388544 10485680 12582816 15728520 16777088 20971360 25165632 31457040 33554176 41942720 50331264 62914080 67108352 83885440 100662528 125828160 134216704 167770880 201325056 251656320 268433408 335541760 402650112 503312640 671083520 805300224 1006625280 1342167040 2013250560 4026501120