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99880020 = 22335374999
BaseRepresentation
bin1011111010000…
…00110001010100
320221221102122000
411331000301110
5201032130040
613524435300
72321652252
oct575006124
9227842560
1099880020
115141a379
1229548b30
1317901006
14d39d5d2
158b7e130
hex5f40c54

99880020 has 96 divisors (see below), whose sum is σ = 319200000. Its totient is φ = 25909632.

The previous prime is 99880019. The next prime is 99880021. The reversal of 99880020 is 2008899.

It is an interprime number because it is at equal distance from previous prime (99880019) and next prime (99880021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99880021) 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, 17481 + ... + 22479.

It is an arithmetic number, because the mean of its divisors is an integer number (3325000).

Almost surely, 299880020 is an apocalyptic number.

99880020 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 99880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600000).

99880020 is an abundant number, since it is smaller than the sum of its proper divisors (219319980).

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

99880020 is a wasteful number, since it uses less digits than its factorization.

99880020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 99880020 is about 9993.9991995197. Note that the first 3 decimals coincide. The cubic root of 99880020 is about 463.9731764617.

It can be divided in two parts, 998 and 80020, that added together give a palindrome (81018).

The spelling of 99880020 in words is "ninety-nine million, eight hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 4999 6660 9990 9998 14997 19980 19996 24995 29994 44991 49990 59988 74985 89982 99980 134973 149970 179964 184963 224955 269946 299940 369926 449910 539892 554889 674865 739852 899820 924815 1109778 1349730 1664667 1849630 2219556 2699460 2774445 3329334 3699260 4994001 5548890 6658668 8323335 9988002 11097780 16646670 19976004 24970005 33293340 49940010 99880020