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30722640 = 24351343229
BaseRepresentation
bin111010100110…
…0101001010000
32010210212112120
41311030221100
530331111030
63014254240
7522065244
oct165145120
963725476
1030722640
1116384413
12a357380
136498ba0
14411a424
152a6d010
hex1d4ca50

30722640 has 160 divisors (see below), whose sum is σ = 105409920. Its totient is φ = 7354368.

The previous prime is 30722633. The next prime is 30722647. The reversal of 30722640 is 4622703.

It is an interprime number because it is at equal distance from previous prime (30722633) and next prime (30722647).

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 30722640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30722647) 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, 134046 + ... + 134274.

It is an arithmetic number, because the mean of its divisors is an integer number (658812).

Almost surely, 230722640 is an apocalyptic number.

30722640 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 30722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704960).

30722640 is an abundant number, since it is smaller than the sum of its proper divisors (74687280).

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

30722640 is a wasteful number, since it uses less digits than its factorization.

30722640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30722640 is about 5542.8007360900. The cubic root of 30722640 is about 313.1983826082.

The spelling of 30722640 in words is "thirty million, seven hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 156 172 195 208 215 229 240 258 260 312 344 390 430 458 516 520 559 624 645 687 688 780 860 916 1032 1040 1118 1145 1290 1374 1560 1677 1720 1832 2064 2236 2290 2580 2748 2795 2977 3120 3354 3435 3440 3664 4472 4580 5160 5496 5590 5954 6708 6870 8385 8931 8944 9160 9847 10320 10992 11180 11908 13416 13740 14885 16770 17862 18320 19694 22360 23816 26832 27480 29541 29770 33540 35724 39388 44655 44720 47632 49235 54960 59082 59540 67080 71448 78776 89310 98470 118164 119080 128011 134160 142896 147705 157552 178620 196940 236328 238160 256022 295410 357240 384033 393880 472656 512044 590820 640055 714480 768066 787760 1024088 1181640 1280110 1536132 1920165 2048176 2363280 2560220 3072264 3840330 5120440 6144528 7680660 10240880 15361320 30722640