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99942570 = 232571312203
BaseRepresentation
bin1011111010100…
…00000010101010
320222001121102200
411331100002222
5201041130240
613530041030
72322332520
oct575200252
9228047380
1099942570
1151462372
1229579176
1317923620
14d3b8310
158b92930
hex5f500aa

99942570 has 96 divisors (see below), whose sum is σ = 319842432. Its totient is φ = 21085056.

The previous prime is 99942569. The next prime is 99942571. The reversal of 99942570 is 7524999.

It is an interprime number because it is at equal distance from previous prime (99942569) and next prime (99942571).

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

It is a Curzon number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (99942571) 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, 2089 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (3331692).

Almost surely, 299942570 is an apocalyptic number.

99942570 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99942570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159921216).

99942570 is an abundant number, since it is smaller than the sum of its proper divisors (219899862).

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

99942570 is a wasteful number, since it uses less digits than its factorization.

99942570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12236 (or 12233 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 99942570 is about 9997.1280876060. The cubic root of 99942570 is about 464.0700108637.

The spelling of 99942570 in words is "ninety-nine million, nine hundred forty-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 12203 24406 36609 61015 73218 85421 109827 122030 158639 170842 183045 219654 256263 317278 366090 427105 475917 512526 549135 768789 793195 854210 951834 1098270 1110473 1281315 1427751 1537578 1586390 2220946 2379585 2562630 2855502 3331419 3843945 4759170 5552365 6662838 7138755 7687890 9994257 11104730 14277510 16657095 19988514 33314190 49971285 99942570