Search a number
-
+
39098070 = 23251173541
BaseRepresentation
bin1001010100100…
…1011011010110
32201120101110200
42111021123112
540002114240
63514001330
7653220354
oct225113326
981511420
1039098070
1120084a60
1211116246
13813c16b
14529a7d4
153674930
hex25496d6

39098070 has 96 divisors (see below), whose sum is σ = 112623264. Its totient is φ = 9331200.

The previous prime is 39098069. The next prime is 39098071. The reversal of 39098070 is 7089093.

39098070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39098069) and next prime (39098071).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39098071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72000 + ... + 72540.

It is an arithmetic number, because the mean of its divisors is an integer number (1173159).

Almost surely, 239098070 is an apocalyptic number.

39098070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39098070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56311632).

39098070 is an abundant number, since it is smaller than the sum of its proper divisors (73525194).

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

39098070 is a wasteful number, since it uses less digits than its factorization.

39098070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 39098070 is about 6252.8449524996. The cubic root of 39098070 is about 339.4051594536.

The spelling of 39098070 in words is "thirty-nine million, ninety-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 90 99 110 146 165 198 219 330 365 438 495 541 657 730 803 990 1082 1095 1314 1606 1623 2190 2409 2705 3246 3285 4015 4818 4869 5410 5951 6570 7227 8030 8115 9738 11902 12045 14454 16230 17853 24090 24345 29755 35706 36135 39493 48690 53559 59510 72270 78986 89265 107118 118479 178530 197465 236958 267795 355437 394930 434423 535590 592395 710874 868846 1184790 1303269 1777185 2172115 2606538 3554370 3909807 4344230 6516345 7819614 13032690 19549035 39098070