Search a number
-
+
76970040 = 2335791631
BaseRepresentation
bin1001001011001…
…11100000111000
312100211111001020
410211213200320
5124201020130
611345422440
71623143310
oct445474070
9170744036
1076970040
113a4a1804
122193aa20
1312c3c204
14a318440
156b55e10
hex4967838

76970040 has 64 divisors (see below), whose sum is σ = 263900160. Its totient is φ = 17592960.

The previous prime is 76970039. The next prime is 76970041. The reversal of 76970040 is 4007967.

It is an interprime number because it is at equal distance from previous prime (76970039) and next prime (76970041).

It is a junction number, because it is equal to n+sod(n) for n = 76969983 and 76970010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76970041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44976 + ... + 46655.

It is an arithmetic number, because the mean of its divisors is an integer number (4123440).

Almost surely, 276970040 is an apocalyptic number.

76970040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76970040 is an abundant number, since it is smaller than the sum of its proper divisors (186930120).

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

76970040 is a wasteful number, since it uses less digits than its factorization.

76970040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91652 (or 91648 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 76970040 is about 8773.2570918673. The cubic root of 76970040 is about 425.3769021012.

The spelling of 76970040 in words is "seventy-six million, nine hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 91631 183262 274893 366524 458155 549786 641417 733048 916310 1099572 1282834 1374465 1832620 1924251 2199144 2565668 2748930 3207085 3665240 3848502 5131336 5497860 6414170 7697004 9621255 10995720 12828340 15394008 19242510 25656680 38485020 76970040