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30148440 = 23357191889
BaseRepresentation
bin111001100000…
…0011101011000
32002201200212220
41303000131120
530204222230
62554104040
7514154220
oct163003530
962650786
1030148440
1116021a73
12a11b020
13632771a
14400b080
1529a7d10
hex1cc0758

30148440 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 6524928.

The previous prime is 30148411. The next prime is 30148441. The reversal of 30148440 is 4484103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30148440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30148441) 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 31 ways as a sum of consecutive naturals, for example, 15016 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 230148440 is an apocalyptic number.

30148440 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 30148440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

30148440 is an abundant number, since it is smaller than the sum of its proper divisors (78715560).

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

30148440 is a wasteful number, since it uses less digits than its factorization.

30148440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 30148440 is about 5490.7595103046. The cubic root of 30148440 is about 311.2348938653.

The spelling of 30148440 in words is "thirty million, one hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1889 1995 2280 2660 3192 3778 3990 5320 5667 7556 7980 9445 11334 13223 15112 15960 18890 22668 26446 28335 35891 37780 39669 45336 52892 56670 66115 71782 75560 79338 105784 107673 113340 132230 143564 158676 179455 198345 215346 226680 251237 264460 287128 317352 358910 396690 430692 502474 528920 538365 717820 753711 793380 861384 1004948 1076730 1256185 1435640 1507422 1586760 2009896 2153460 2512370 3014844 3768555 4306920 5024740 6029688 7537110 10049480 15074220 30148440