Search a number
-
+
9980700 = 223521719103
BaseRepresentation
bin100110000100…
…101100011100
3200210001221120
4212010230130
510023340300
6553530540
7150556152
oct46045434
920701846
109980700
1156a7714
123413a50
1320b5b52
14147b3d2
15d223a0
hex984b1c

9980700 has 144 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 2350080.

The previous prime is 9980699. The next prime is 9980723. The reversal of 9980700 is 70899.

It is a super-2 number, since 2×99807002 = 199228744980000, which contains 22 as substring.

It is a congruent number.

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, 96849 + ... + 96951.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 29980700 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 9980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

9980700 is an abundant number, since it is smaller than the sum of its proper divisors (22517220).

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

9980700 is a wasteful number, since it uses less digits than its factorization.

9980700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 9980700 is about 3159.2245884077. The cubic root of 9980700 is about 215.3047777751.

The spelling of 9980700 in words is "nine million, nine hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 103 114 150 170 190 204 206 228 255 285 300 309 323 340 380 412 425 475 510 515 570 618 646 850 950 969 1020 1030 1140 1236 1275 1292 1425 1545 1615 1700 1751 1900 1938 1957 2060 2550 2575 2850 3090 3230 3502 3876 3914 4845 5100 5150 5253 5700 5871 6180 6460 7004 7725 7828 8075 8755 9690 9785 10300 10506 11742 15450 16150 17510 19380 19570 21012 23484 24225 26265 29355 30900 32300 33269 35020 39140 43775 48450 48925 52530 58710 66538 87550 96900 97850 99807 105060 117420 131325 133076 146775 166345 175100 195700 199614 262650 293550 332690 399228 499035 525300 587100 665380 831725 998070 1663450 1996140 2495175 3326900 4990350 9980700