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30037140 = 22325731769
BaseRepresentation
bin111001010010…
…1010010010100
32002112001012200
41302211102110
530142142030
62551444500
7513211560
oct162452224
962461180
1030037140
1115a56391
12a086730
1362b8b73
143dbc6a0
152984d60
hex1ca5494

30037140 has 144 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 6635520.

The previous prime is 30037099. The next prime is 30037141. The reversal of 30037140 is 4173003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30037141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38676 + ... + 39444.

Almost surely, 230037140 is an apocalyptic number.

30037140 is a gapful number since it is divisible by the number (30) 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 30037140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

30037140 is an abundant number, since it is smaller than the sum of its proper divisors (77590380).

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

30037140 is a wasteful number, since it uses less digits than its factorization.

30037140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30037140 is about 5480.6149290020. The cubic root of 30037140 is about 310.8514228456.

The spelling of 30037140 in words is "thirty million, thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 769 868 930 1085 1116 1260 1302 1395 1538 1860 1953 2170 2307 2604 2790 3076 3255 3845 3906 4340 4614 5383 5580 6510 6921 7690 7812 9228 9765 10766 11535 13020 13842 15380 16149 19530 21532 23070 23839 26915 27684 32298 34605 39060 46140 47678 48447 53830 64596 69210 71517 80745 95356 96894 107660 119195 138420 143034 161490 166873 193788 214551 238390 242235 286068 322980 333746 357585 429102 476780 484470 500619 667492 715170 834365 858204 968940 1001238 1072755 1430340 1501857 1668730 2002476 2145510 2503095 3003714 3337460 4291020 5006190 6007428 7509285 10012380 15018570 30037140