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69994400 = 2552729431
BaseRepresentation
bin1000010110000…
…00011110100000
311212201002021012
410023000132200
5120404310100
610540120052
71506641210
oct413003640
9155632235
1069994400
1136567913
121b536028
1311669108
149420240
156229135
hex42c07a0

69994400 has 144 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 23116800.

The previous prime is 69994387. The next prime is 69994409. The reversal of 69994400 is 449996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69994409) 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, 162185 + ... + 162615.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 269994400 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 69994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

69994400 is an abundant number, since it is smaller than the sum of its proper divisors (132492640).

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

69994400 is a wasteful number, since it uses less digits than its factorization.

69994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 69994400 is about 8366.2655946366. The cubic root of 69994400 is about 412.1175395936.

The spelling of 69994400 in words is "sixty-nine million, nine hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 70 80 100 112 116 140 145 160 175 200 203 224 232 280 290 350 400 406 431 464 560 580 700 725 800 812 862 928 1015 1120 1160 1400 1450 1624 1724 2030 2155 2320 2800 2900 3017 3248 3448 4060 4310 4640 5075 5600 5800 6034 6496 6896 8120 8620 10150 10775 11600 12068 12499 13792 15085 16240 17240 20300 21550 23200 24136 24998 30170 32480 34480 40600 43100 48272 49996 60340 62495 68960 75425 81200 86200 87493 96544 99992 120680 124990 150850 162400 172400 174986 199984 241360 249980 301700 312475 344800 349972 399968 437465 482720 499960 603400 624950 699944 874930 999920 1206800 1249900 1399888 1749860 1999840 2187325 2413600 2499800 2799776 3499720 4374650 4999600 6999440 8749300 9999200 13998880 17498600 34997200 69994400