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4015200080 = 2451719155387
BaseRepresentation
bin1110111101010011…
…0001011101010000
3101100211022022001002
43233110301131100
531210342400310
61502231401132
7201333431453
oct35724613520
911324268032
104015200080
111780526281
129408231a8
134bcb14148
142a138d49a
15187778da5
hexef531750

4015200080 has 80 divisors (see below), whose sum is σ = 10404780480. Its totient is φ = 1432037376.

The previous prime is 4015200067. The next prime is 4015200089. The reversal of 4015200080 is 800025104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40152000802 = 32243663364864012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015200089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51854 + ... + 103533.

It is an arithmetic number, because the mean of its divisors is an integer number (130059756).

Almost surely, 24015200080 is an apocalyptic number.

4015200080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4015200080 is an abundant number, since it is smaller than the sum of its proper divisors (6389580400).

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

4015200080 is a wasteful number, since it uses less digits than its factorization.

4015200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155436 (or 155430 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4015200080 is about 63365.6064438746. The cubic root of 4015200080 is about 1589.4092289897.

Adding to 4015200080 its reverse (800025104), we get a palindrome (4815225184).

The spelling of 4015200080 in words is "four billion, fifteen million, two hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 25840 155387 310774 621548 776935 1243096 1553870 2486192 2641579 2952353 3107740 5283158 5904706 6215480 10566316 11809412 12430960 13207895 14761765 21132632 23618824 26415790 29523530 42265264 47237648 50190001 52831580 59047060 100380002 105663160 118094120 200760004 211326320 236188240 250950005 401520008 501900010 803040016 1003800020 2007600040 4015200080