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99142890 = 235711167257
BaseRepresentation
bin1011110100011…
…00110011101010
320220112222110220
411322030303222
5200340033030
613500550510
72312462220
oct572146352
9226488426
1099142890
1150a66580
1229252436
1317703642
14d24ab10
158a85a10
hex5e8ccea

99142890 has 128 divisors (see below), whose sum is σ = 299593728. Its totient is φ = 20398080.

The previous prime is 99142889. The next prime is 99142891. The reversal of 99142890 is 9824199.

It is an interprime number because it is at equal distance from previous prime (99142889) and next prime (99142891).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (99142891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385642 + ... + 385898.

It is an arithmetic number, because the mean of its divisors is an integer number (2340576).

Almost surely, 299142890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99142890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796864).

99142890 is an abundant number, since it is smaller than the sum of its proper divisors (200450838).

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

99142890 is a wasteful number, since it uses less digits than its factorization.

99142890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452.

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 99142890 is about 9957.0522746443. The cubic root of 99142890 is about 462.8289590532.

The spelling of 99142890 in words is "ninety-nine million, one hundred forty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 167 210 231 257 330 334 385 462 501 514 770 771 835 1002 1155 1169 1285 1542 1670 1799 1837 2310 2338 2505 2570 2827 3507 3598 3674 3855 5010 5397 5511 5654 5845 7014 7710 8481 8995 9185 10794 11022 11690 12859 14135 16962 17535 17990 18370 19789 25718 26985 27555 28270 35070 38577 39578 42405 42919 53970 55110 59367 64295 77154 84810 85838 98945 118734 128590 128757 192885 197890 214595 257514 296835 300433 385770 429190 472109 593670 600866 643785 901299 944218 1287570 1416327 1502165 1802598 2360545 2832654 3004330 3304763 4506495 4721090 6609526 7081635 9012990 9914289 14163270 16523815 19828578 33047630 49571445 99142890