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68921440 = 2557259149
BaseRepresentation
bin1000001101110…
…10100001100000
311210200120102221
410012322201200
5120120441230
610501120424
71464552100
oct406724140
9153616387
1068921440
11359a4775
121b0b9114
1311381923
149221200
1560b627a
hex41ba860

68921440 has 144 divisors (see below), whose sum is σ = 193914000. Its totient is φ = 23073792.

The previous prime is 68921407. The next prime is 68921441. The reversal of 68921440 is 4412986.

It is a junction number, because it is equal to n+sod(n) for n = 68921396 and 68921405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68921441) 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, 462486 + ... + 462634.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 268921440 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 68921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96957000).

68921440 is an abundant number, since it is smaller than the sum of its proper divisors (124992560).

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

68921440 is a wasteful number, since it uses less digits than its factorization.

68921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 68921440 is about 8301.8937598599. The cubic root of 68921440 is about 410.0008724947. Note that the first 3 decimals are identical.

The spelling of 68921440 in words is "sixty-eight million, nine hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 59 70 80 98 112 118 140 149 160 196 224 236 245 280 295 298 392 413 472 490 560 590 596 745 784 826 944 980 1043 1120 1180 1192 1490 1568 1652 1888 1960 2065 2086 2360 2384 2891 2980 3304 3920 4130 4172 4720 4768 5215 5782 5960 6608 7301 7840 8260 8344 8791 9440 10430 11564 11920 13216 14455 14602 16520 16688 17582 20860 23128 23840 28910 29204 33040 33376 35164 36505 41720 43955 46256 57820 58408 61537 66080 70328 73010 83440 87910 92512 115640 116816 123074 140656 146020 166880 175820 231280 233632 246148 281312 292040 307685 351640 430759 462560 492296 584080 615370 703280 861518 984592 1168160 1230740 1406560 1723036 1969184 2153795 2461480 3446072 4307590 4922960 6892144 8615180 9845920 13784288 17230360 34460720 68921440