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68554640 = 24571131359
BaseRepresentation
bin1000001011000…
…00111110010000
311202222221021202
410011200332100
5120022222030
610445210332
71461463520
oct405407620
9152887252
1068554640
1135774130
121ab609a8
131128399b
149167680
156042745
hex4160f90

68554640 has 160 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 20620800.

The previous prime is 68554639. The next prime is 68554687. The reversal of 68554640 is 4645586.

It is a junction number, because it is equal to n+sod(n) for n = 68554594 and 68554603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190781 + ... + 191139.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 268554640 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 68554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

68554640 is an abundant number, since it is smaller than the sum of its proper divisors (137146480).

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

68554640 is a wasteful number, since it uses less digits than its factorization.

68554640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 68554640 is about 8279.7729437467. The cubic root of 68554640 is about 409.2722366227.

It can be divided in two parts, 685546 and 40, that added together give a palindrome (685586).

The spelling of 68554640 in words is "sixty-eight million, five hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 359 385 434 440 496 560 616 620 682 718 770 868 880 1085 1232 1240 1364 1436 1540 1705 1736 1795 2170 2387 2480 2513 2728 2872 3080 3410 3472 3590 3949 4340 4774 5026 5456 5744 6160 6820 7180 7898 8680 9548 10052 11129 11935 12565 13640 14360 15796 17360 19096 19745 20104 22258 23870 25130 27280 27643 28720 31592 38192 39490 40208 44516 47740 50260 55286 55645 63184 77903 78980 89032 95480 100520 110572 111290 122419 138215 155806 157960 178064 190960 201040 221144 222580 244838 276430 311612 315920 389515 442288 445160 489676 552860 612095 623224 779030 856933 890320 979352 1105720 1224190 1246448 1558060 1713866 1958704 2211440 2448380 3116120 3427732 4284665 4896760 6232240 6855464 8569330 9793520 13710928 17138660 34277320 68554640