Search a number
-
+
967993940 = 225172223751
BaseRepresentation
bin111001101100100…
…110101001010100
32111110110012001102
4321230212221110
53440301301230
6240015245232
732662545524
oct7154465124
92443405042
10967993940
114574531a1
12230219818
131257120a4
14927b9684
1559ead045
hex39b26a54

967993940 has 72 divisors (see below), whose sum is σ = 2171968512. Its totient is φ = 362304000.

The previous prime is 967993937. The next prime is 967993979. The reversal of 967993940 is 49399769.

967993940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288565 + ... + 1289315.

Almost surely, 2967993940 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 967993940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085984256).

967993940 is an abundant number, since it is smaller than the sum of its proper divisors (1203974572).

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

967993940 is a wasteful number, since it uses less digits than its factorization.

967993940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 56.

The square root of 967993940 is about 31112.6009841672. The cubic root of 967993940 is about 989.2154243693.

The spelling of 967993940 in words is "nine hundred sixty-seven million, nine hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 289 340 446 578 751 892 1115 1156 1445 1502 2230 2890 3004 3755 3791 4460 5780 7510 7582 12767 15020 15164 18955 25534 37910 51068 63835 64447 75820 127670 128894 167473 217039 255340 257788 322235 334946 434078 644470 669892 837365 868156 1085195 1288940 1674730 2170390 2847041 3349460 4340780 5694082 11388164 14235205 28470410 48399697 56940820 96799394 193598788 241998485 483996970 967993940