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30696400 = 2452719577
BaseRepresentation
bin111010100011…
…0001111010000
32010202112112201
41311012033100
530324241100
63013532544
7521625610
oct165061720
963675481
1030696400
1116366729
12a344154
136489c67
144110a40
152a6536a
hex1d463d0

30696400 has 120 divisors (see below), whose sum is σ = 88873280. Its totient is φ = 9953280.

The previous prime is 30696383. The next prime is 30696403. The reversal of 30696400 is 469603.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30696403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52912 + ... + 53488.

Almost surely, 230696400 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 30696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44436640).

30696400 is an abundant number, since it is smaller than the sum of its proper divisors (58176880).

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

30696400 is a wasteful number, since it uses less digits than its factorization.

30696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 30696400 is about 5540.4331960597. The cubic root of 30696400 is about 313.1091903338.

The spelling of 30696400 in words is "thirty million, six hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 133 140 152 175 190 200 266 280 304 350 380 400 475 532 560 577 665 700 760 950 1064 1154 1330 1400 1520 1900 2128 2308 2660 2800 2885 3325 3800 4039 4616 5320 5770 6650 7600 8078 9232 10640 10963 11540 13300 14425 16156 20195 21926 23080 26600 28850 32312 40390 43852 46160 53200 54815 57700 64624 76741 80780 87704 100975 109630 115400 153482 161560 175408 201950 219260 230800 274075 306964 323120 383705 403900 438520 548150 613928 767410 807800 877040 1096300 1227856 1534820 1615600 1918525 2192600 3069640 3837050 4385200 6139280 7674100 15348200 30696400