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68989440 = 293513691
BaseRepresentation
bin1000001110010…
…11001000000000
311210211000201110
410013023020000
5120130130230
610502403320
71465254252
oct407131000
9153730643
1068989440
1135a40873
121b130540
13113a6870
14923bcd2
1560cb4b0
hex41cb200

68989440 has 160 divisors (see below), whose sum is σ = 237859776. Its totient is φ = 16957440.

The previous prime is 68989439. The next prime is 68989483. The reversal of 68989440 is 4498986.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68989440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99495 + ... + 100185.

Almost surely, 268989440 is an apocalyptic number.

68989440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118929888).

68989440 is an abundant number, since it is smaller than the sum of its proper divisors (168870336).

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

68989440 is a wasteful number, since it uses less digits than its factorization.

68989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 68989440 is about 8305.9882012919. The cubic root of 68989440 is about 410.1356679722.

The spelling of 68989440 in words is "sixty-eight million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 691 768 780 832 960 1040 1248 1280 1382 1536 1560 1664 1920 2073 2080 2496 2560 2764 3120 3328 3455 3840 4146 4160 4992 5528 6240 6656 6910 7680 8292 8320 8983 9984 10365 11056 12480 13820 16584 16640 17966 19968 20730 22112 24960 26949 27640 33168 33280 35932 41460 44224 44915 49920 53898 55280 66336 71864 82920 88448 89830 99840 107796 110560 132672 134745 143728 165840 176896 179660 215592 221120 265344 269490 287456 331680 353792 359320 431184 442240 530688 538980 574912 663360 718640 862368 884480 1061376 1077960 1149824 1326720 1437280 1724736 1768960 2155920 2299648 2653440 2874560 3449472 4311840 4599296 5306880 5749120 6898944 8623680 11498240 13797888 17247360 22996480 34494720 68989440