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9970020 = 2233537499
BaseRepresentation
bin100110000010…
…000101100100
3200202112022000
4212002011210
510023020040
6553405300
7150513054
oct46020544
920675260
109970020
11569a695
123409830
1320b1028
141477564
15d1e130
hex982164

9970020 has 96 divisors (see below), whose sum is σ = 31920000. Its totient is φ = 2581632.

The previous prime is 9970019. The next prime is 9970027. The reversal of 9970020 is 200799.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970027) 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, 19731 + ... + 20229.

It is an arithmetic number, because the mean of its divisors is an integer number (332500).

Almost surely, 29970020 is an apocalyptic number.

9970020 is a gapful number since it is divisible by the number (90) 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 9970020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960000).

9970020 is an abundant number, since it is smaller than the sum of its proper divisors (21949980).

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

9970020 is a wasteful number, since it uses less digits than its factorization.

9970020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 9970020 is about 3157.5338477996. The cubic root of 9970020 is about 215.2279536478.

The spelling of 9970020 in words is "nine million, nine hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 499 540 555 666 740 998 999 1110 1332 1497 1665 1996 1998 2220 2495 2994 3330 3996 4491 4990 4995 5988 6660 7485 8982 9980 9990 13473 14970 17964 18463 19980 22455 26946 29940 36926 44910 53892 55389 67365 73852 89820 92315 110778 134730 166167 184630 221556 269460 276945 332334 369260 498501 553890 664668 830835 997002 1107780 1661670 1994004 2492505 3323340 4985010 9970020