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4000691070 = 2325238092389
BaseRepresentation
bin1110111001110101…
…1011001101111110
3101022211000011102100
43232131123031332
531143134103240
61500552405530
7201066212235
oct35635331576
911284004370
104000691070
111773316462
129379a68a6
134b9b0412c
1429d493b1c
1518635ee30
hexee75b37e

4000691070 has 96 divisors (see below), whose sum is σ = 10872014400. Its totient is φ = 1018778112.

The previous prime is 4000691059. The next prime is 4000691087. The reversal of 4000691070 is 701960004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673436 + ... + 1675824.

It is an arithmetic number, because the mean of its divisors is an integer number (113250150).

Almost surely, 24000691070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000691070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436007200).

4000691070 is an abundant number, since it is smaller than the sum of its proper divisors (6871323330).

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

4000691070 is a wasteful number, since it uses less digits than its factorization.

4000691070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4000691070 is about 63251.0163554705. The cubic root of 4000691070 is about 1587.4924638078.

The spelling of 4000691070 in words is "four billion, six hundred ninety-one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 809 1035 1618 2070 2389 2427 4045 4778 4854 7167 7281 8090 11945 12135 14334 14562 18607 21501 23890 24270 35835 36405 37214 43002 54947 55821 71670 72810 93035 107505 109894 111642 164841 167463 186070 215010 274735 279105 329682 334926 494523 549470 558210 824205 837315 989046 1648410 1674630 1932701 2472615 3865402 4945230 5798103 9663505 11596206 17394309 19327010 28990515 34788618 44452123 57981030 86971545 88904246 133356369 173943090 222260615 266712738 400069107 444521230 666781845 800138214 1333563690 2000345535 4000691070