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1970328030 = 2351115139541
BaseRepresentation
bin111010101110000…
…1101000111011110
312002022112000221020
41311130031013132
513013400444110
6523302545010
766553340406
oct16534150736
95068460836
101970328030
11921220680
1246ba38166
13255288798
14149973806
15b7ea0d70
hex7570d1de

1970328030 has 64 divisors (see below), whose sum is σ = 5192971776. Its totient is φ = 474480000.

The previous prime is 1970328023. The next prime is 1970328037. The reversal of 1970328030 is 308230791.

It is an interprime number because it is at equal distance from previous prime (1970328023) and next prime (1970328037).

It is a super-3 number, since 3×19703280303 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1970327982 and 1970328000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970328037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30060 + ... + 69600.

It is an arithmetic number, because the mean of its divisors is an integer number (81140184).

Almost surely, 21970328030 is an apocalyptic number.

1970328030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970328030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596485888).

1970328030 is an abundant number, since it is smaller than the sum of its proper divisors (3222643746).

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

1970328030 is a wasteful number, since it uses less digits than its factorization.

1970328030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39713.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1970328030 is about 44388.3771949370. The cubic root of 1970328030 is about 1253.6592571501.

The spelling of 1970328030 in words is "one billion, nine hundred seventy million, three hundred twenty-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 755 906 1510 1661 2265 3322 4530 4983 8305 9966 16610 24915 39541 49830 79082 118623 197705 237246 395410 434951 593115 869902 1186230 1304853 2174755 2609706 4349510 5970691 6524265 11941382 13048530 17912073 29853455 35824146 59706910 65677601 89560365 131355202 179120730 197032803 328388005 394065606 656776010 985164015 1970328030