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67990752 = 2534171543
BaseRepresentation
bin1000000110101…
…11010011100000
311201221021210000
410003113103200
5114401201002
610425140000
71453624524
oct403272340
9151837700
1067990752
1135419505
121a92a600
131111711b
14905bd84
155e8061c
hex40d74e0

67990752 has 120 divisors (see below), whose sum is σ = 211858416. Its totient is φ = 21316608.

The previous prime is 67990739. The next prime is 67990757. The reversal of 67990752 is 25709976.

It is a junction number, because it is equal to n+sod(n) for n = 67990698 and 67990707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67990757) 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 19 ways as a sum of consecutive naturals, for example, 43293 + ... + 44835.

Almost surely, 267990752 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 67990752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105929208).

67990752 is an abundant number, since it is smaller than the sum of its proper divisors (143867664).

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

67990752 is a wasteful number, since it uses less digits than its factorization.

67990752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 67990752 is about 8245.6504898037. The cubic root of 67990752 is about 408.1470058497.

The spelling of 67990752 in words is "sixty-seven million, nine hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1543 1632 1836 2448 2592 2754 3086 3672 4629 4896 5508 6172 7344 9258 11016 12344 13887 14688 18516 22032 24688 26231 27774 37032 41661 44064 49376 52462 55548 74064 78693 83322 104924 111096 124983 148128 157386 166644 209848 222192 236079 249966 314772 333288 419696 444384 472158 499932 629544 666576 708237 839392 944316 999864 1259088 1333152 1416474 1888632 1999728 2124711 2518176 2832948 3777264 3999456 4249422 5665896 7554528 8498844 11331792 16997688 22663584 33995376 67990752