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30189040 = 2457313747
BaseRepresentation
bin111001100101…
…0010111110000
32002210202120121
41303022113300
530212022130
62555020024
7514413460
oct163122760
962722517
1030189040
111604a522
12a13a614
13634004b
14401bba0
1529b4d7a
hex1cca5f0

30189040 has 160 divisors (see below), whose sum is σ = 86851584. Its totient is φ = 9538560.

The previous prime is 30189031. The next prime is 30189073. The reversal of 30189040 is 4098103.

It is a super-2 number, since 2×301890402 = 1822756272243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30188996 and 30189014.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 642297 + ... + 642343.

Almost surely, 230189040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43425792).

30189040 is an abundant number, since it is smaller than the sum of its proper divisors (56662544).

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

30189040 is a wasteful number, since it uses less digits than its factorization.

30189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 30189040 is about 5494.4553870243. The cubic root of 30189040 is about 311.3745414302.

The spelling of 30189040 in words is "thirty million, one hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 47 56 62 70 74 80 94 112 124 140 148 155 185 188 217 235 248 259 280 296 310 329 370 376 434 470 496 518 560 592 620 658 740 752 868 940 1036 1085 1147 1240 1295 1316 1457 1480 1645 1736 1739 1880 2072 2170 2294 2480 2590 2632 2914 2960 3290 3472 3478 3760 4144 4340 4588 5180 5264 5735 5828 6580 6956 7285 8029 8680 8695 9176 10199 10360 11470 11656 12173 13160 13912 14570 16058 17360 17390 18352 20398 20720 22940 23312 24346 26320 27824 29140 32116 34780 40145 40796 45880 48692 50995 53909 58280 60865 64232 69560 80290 81592 91760 97384 101990 107818 116560 121730 128464 139120 160580 163184 194768 203980 215636 243460 269545 321160 377363 407960 431272 486920 539090 642320 754726 815920 862544 973840 1078180 1509452 1886815 2156360 3018904 3773630 4312720 6037808 7547260 15094520 30189040