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76003940 = 22517317211
BaseRepresentation
bin1001000011110…
…11101001100100
312022000101210202
410201323221210
5123424111230
611313010032
71612010555
oct441735144
9168011722
1076003940
11399a1981
1221553918
131299155c
14a14632c
156a14a45
hex487ba64

76003940 has 48 divisors (see below), whose sum is σ = 174472704. Its totient is φ = 27686400.

The previous prime is 76003931. The next prime is 76003943. The reversal of 76003940 is 4930067.

It is not an unprimeable number, because it can be changed into a prime (76003943) 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 15 ways as a sum of consecutive naturals, for example, 6935 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (3634848).

Almost surely, 276003940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76003940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87236352).

76003940 is an abundant number, since it is smaller than the sum of its proper divisors (98468764).

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

76003940 is a wasteful number, since it uses less digits than its factorization.

76003940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 76003940 is about 8718.0238586505. The cubic root of 76003940 is about 423.5896780994.

The spelling of 76003940 in words is "seventy-six million, three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 7211 10540 14422 28844 36055 72110 122587 144220 223541 245174 447082 490348 612935 894164 1117705 1225870 2235410 2451740 3800197 4470820 7600394 15200788 19000985 38001970 76003940