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98912970 = 232513174973
BaseRepresentation
bin1011110010101…
…00101011001010
320220010022002100
411321110223022
5200310203340
613452014230
72310514002
oct571245312
9226108070
1098912970
1150919862
1229161376
1317652ab0
14d1cb002
158a3c830
hex5e54aca

98912970 has 96 divisors (see below), whose sum is σ = 293306832. Its totient is φ = 22910976.

The previous prime is 98912963. The next prime is 98912981. The reversal of 98912970 is 7921989.

It can be written as a sum of positive squares in 8 ways, for example, as 45198729 + 53714241 = 6723^2 + 7329^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17404 + ... + 22376.

Almost surely, 298912970 is an apocalyptic number.

98912970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 9945×9946.

It is a practical number, because each smaller number is the sum of distinct divisors of 98912970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146653416).

98912970 is an abundant number, since it is smaller than the sum of its proper divisors (194393862).

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

98912970 is a wasteful number, since it uses less digits than its factorization.

98912970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 98912970 is about 9945.4999874315. The cubic root of 98912970 is about 462.4709034532.

The spelling of 98912970 in words is "ninety-eight million, nine hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 4973 6630 9945 9946 14919 19890 24865 29838 44757 49730 64649 74595 84541 89514 129298 149190 169082 193947 223785 253623 323245 387894 422705 447570 507246 581841 646490 760869 845410 969735 1099033 1163682 1268115 1521738 1939470 2198066 2536230 2909205 3297099 3804345 5495165 5818410 6594198 7608690 9891297 10990330 16485495 19782594 32970990 49456485 98912970