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1970146728 = 233211171311117
BaseRepresentation
bin111010101101110…
…0000110110101000
312002022011211020100
41311123200312220
513013324143403
6523255025400
766551654004
oct16533406650
95068154210
101970146728
11921107440
1246b96b260
132552240c4
14149927704
15b7e672a3
hex756e0da8

1970146728 has 192 divisors, whose sum is σ = 6215901120. Its totient is φ = 557107200.

The previous prime is 1970146699. The next prime is 1970146729. The reversal of 1970146728 is 8276410791.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1970146729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763226 + ... + 1764342.

It is an arithmetic number, because the mean of its divisors is an integer number (32374485).

Almost surely, 21970146728 is an apocalyptic number.

1970146728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970146728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107950560).

1970146728 is an abundant number, since it is smaller than the sum of its proper divisors (4245754392).

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

1970146728 is a wasteful number, since it uses less digits than its factorization.

1970146728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1970146728 is about 44386.3349241633. The cubic root of 1970146728 is about 1253.6208036711.

The spelling of 1970146728 in words is "one billion, nine hundred seventy million, one hundred forty-six thousand, seven hundred twenty-eight".