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970221040 = 24543893169
BaseRepresentation
bin111001110101000…
…110010111110000
32111121122100001121
4321311012113300
53441334033130
6240135112024
733020512525
oct7165062760
92447570047
10970221040
11458734478
12230b12614
131260119b9
1492bd914c
155a29cd7a
hex39d465f0

970221040 has 80 divisors (see below), whose sum is σ = 2334895200. Its totient is φ = 374685696.

The previous prime is 970220941. The next prime is 970221053. The reversal of 970221040 is 40122079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 970220996 and 970221014.

It is a congruent number.

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, 304576 + ... + 307744.

It is an arithmetic number, because the mean of its divisors is an integer number (29186190).

Almost surely, 2970221040 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 970221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167447600).

970221040 is an abundant number, since it is smaller than the sum of its proper divisors (1364674160).

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

970221040 is a wasteful number, since it uses less digits than its factorization.

970221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 970221040 is about 31148.3713859971. The cubic root of 970221040 is about 989.9734849886.

The spelling of 970221040 in words is "nine hundred seventy million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 89 172 178 215 344 356 430 445 688 712 860 890 1424 1720 1780 3169 3440 3560 3827 6338 7120 7654 12676 15308 15845 19135 25352 30616 31690 38270 50704 61232 63380 76540 126760 136267 153080 253520 272534 282041 306160 545068 564082 681335 1090136 1128164 1362670 1410205 2180272 2256328 2725340 2820410 4512656 5450680 5640820 10901360 11281640 12127763 22563280 24255526 48511052 60638815 97022104 121277630 194044208 242555260 485110520 970221040