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99052380 = 223257127619
BaseRepresentation
bin1011110011101…
…10101101011100
320220101101022200
411321312231130
5200324134010
613455011500
72311634310
oct571665534
9226341280
1099052380
1150a04579
1229209b90
13176a139b
14d225b40
158a68cc0
hex5e76b5c

99052380 has 144 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 22425984.

The previous prime is 99052357. The next prime is 99052403. The reversal of 99052380 is 8325099.

It is an interprime number because it is at equal distance from previous prime (99052357) and next prime (99052403).

It is a super-2 number, since 2×990523802 = 19622747967328800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159711 + ... + 160329.

Almost surely, 299052380 is an apocalyptic number.

99052380 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 99052380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

99052380 is an abundant number, since it is smaller than the sum of its proper divisors (247592100).

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

99052380 is a wasteful number, since it uses less digits than its factorization.

99052380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 99052380 is about 9952.5062170290. The cubic root of 99052380 is about 462.6880734982.

The spelling of 99052380 in words is "ninety-nine million, fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 619 630 635 762 889 1143 1238 1260 1270 1524 1778 1857 1905 2286 2476 2540 2667 3095 3556 3714 3810 4333 4445 4572 5334 5571 5715 6190 7428 7620 8001 8666 8890 9285 10668 11142 11430 12380 12999 13335 16002 17332 17780 18570 21665 22284 22860 25998 26670 27855 32004 37140 38997 40005 43330 51996 53340 55710 64995 77994 78613 80010 86660 111420 129990 155988 157226 160020 194985 235839 259980 314452 389970 393065 471678 550291 707517 779940 786130 943356 1100582 1179195 1415034 1572260 1650873 2201164 2358390 2751455 2830068 3301746 3537585 4716780 4952619 5502910 6603492 7075170 8254365 9905238 11005820 14150340 16508730 19810476 24763095 33017460 49526190 99052380