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30057440 = 255747571
BaseRepresentation
bin111001010101…
…0001111100000
32002120002001112
41302222033200
530143314230
62552122452
7513325010
oct162521740
962502045
1030057440
1115a6a666
12a096428
1362c518a
143dc5c40
15298ad95
hex1caa3e0

30057440 has 96 divisors (see below), whose sum is σ = 83026944. Its totient is φ = 10068480.

The previous prime is 30057439. The next prime is 30057451. The reversal of 30057440 is 4475003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52355 + ... + 52925.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 230057440 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 30057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472).

30057440 is an abundant number, since it is smaller than the sum of its proper divisors (52969504).

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

30057440 is a wasteful number, since it uses less digits than its factorization.

30057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 30057440 is about 5482.4665981655. The cubic root of 30057440 is about 310.9214346472.

The spelling of 30057440 in words is "thirty million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 571 658 752 940 1120 1142 1316 1504 1645 1880 2284 2632 2855 3290 3760 3997 4568 5264 5710 6580 7520 7994 9136 10528 11420 13160 15988 18272 19985 22840 26320 26837 31976 39970 45680 52640 53674 63952 79940 91360 107348 127904 134185 159880 187859 214696 268370 319760 375718 429392 536740 639520 751436 858784 939295 1073480 1502872 1878590 2146960 3005744 3757180 4293920 6011488 7514360 15028720 30057440