Search a number
-
+
970962096 = 243134733107
BaseRepresentation
bin111001110111111…
…011010010110000
32111200000222121010
4321313323102300
53442031241341
6240203030520
733030020166
oct7167732260
92450028533
10970962096
114590a0215
1223120b440
131262110b0
1492d4d236
155a397716
hex39dfb4b0

970962096 has 80 divisors (see below), whose sum is σ = 2758823424. Its totient is φ = 292392192.

The previous prime is 970962077. The next prime is 970962107. The reversal of 970962096 is 690269079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12775 + ... + 45881.

Almost surely, 2970962096 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 970962096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379411712).

970962096 is an abundant number, since it is smaller than the sum of its proper divisors (1787861328).

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

970962096 is a wasteful number, since it uses less digits than its factorization.

970962096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33178 (or 33172 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 970962096 is about 31160.2646972069. The cubic root of 970962096 is about 990.2254684915.

The spelling of 970962096 in words is "nine hundred seventy million, nine hundred sixty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7332 9776 14664 29328 33107 66214 99321 132428 198642 264856 397284 430391 529712 794568 860782 1291173 1556029 1589136 1721564 2582346 3112058 3443128 4668087 5164692 6224116 6886256 9336174 10329384 12448232 18672348 20228377 20658768 24896464 37344696 40456754 60685131 74689392 80913508 121370262 161827016 242740524 323654032 485481048 970962096