Search a number
-
+
99318780 = 2232511103487
BaseRepresentation
bin1011110101101…
…11101111111100
320220212220202100
411322313233330
5200411200110
613504425100
72314124061
oct572675774
9226786670
1099318780
1151076740
1229318190
1317765712
14d294c68
158abcbc0
hex5eb7bfc

99318780 has 144 divisors (see below), whose sum is σ = 332527104. Its totient is φ = 23794560.

The previous prime is 99318773. The next prime is 99318787. The reversal of 99318780 is 8781399.

It is an interprime number because it is at equal distance from previous prime (99318773) and next prime (99318787).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99318787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203697 + ... + 204183.

It is an arithmetic number, because the mean of its divisors is an integer number (2309216).

Almost surely, 299318780 is an apocalyptic number.

99318780 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 99318780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166263552).

99318780 is an abundant number, since it is smaller than the sum of its proper divisors (233208324).

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

99318780 is a wasteful number, since it uses less digits than its factorization.

99318780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 99318780 is about 9965.8807939891. The cubic root of 99318780 is about 463.1024999040.

The spelling of 99318780 in words is "ninety-nine million, three hundred eighteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 103 110 132 165 180 198 206 220 309 330 396 412 487 495 515 618 660 927 974 990 1030 1133 1236 1461 1545 1854 1948 1980 2060 2266 2435 2922 3090 3399 3708 4383 4532 4635 4870 5357 5665 5844 6180 6798 7305 8766 9270 9740 10197 10714 11330 13596 14610 16071 16995 17532 18540 20394 21428 21915 22660 26785 29220 32142 33990 40788 43830 48213 50161 50985 53570 64284 67980 80355 87660 96426 100322 101970 107140 150483 160710 192852 200644 203940 241065 250805 300966 321420 451449 482130 501610 551771 601932 752415 902898 964260 1003220 1103542 1504830 1655313 1805796 2207084 2257245 2758855 3009660 3310626 4514490 4965939 5517710 6621252 8276565 9028980 9931878 11035420 16553130 19863756 24829695 33106260 49659390 99318780