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69917940 = 223251773313
BaseRepresentation
bin1000010101011…
…01110011110100
311212120012101100
410022231303310
5120344333230
610534330100
71506202251
oct412556364
9155505340
1069917940
1136515424
121b4b9930
1311640381
149400428
156211660
hex42adcf4

69917940 has 144 divisors (see below), whose sum is σ = 228363408. Its totient is φ = 17252352.

The previous prime is 69917933. The next prime is 69917951. The reversal of 69917940 is 4971996.

It can be written as a sum of positive squares in 8 ways, for example, as 4016016 + 65901924 = 2004^2 + 8118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223224 + ... + 223536.

It is an arithmetic number, because the mean of its divisors is an integer number (1585857).

Almost surely, 269917940 is an apocalyptic number.

69917940 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 69917940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114181704).

69917940 is an abundant number, since it is smaller than the sum of its proper divisors (158445468).

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

69917940 is a wasteful number, since it uses less digits than its factorization.

69917940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 69917940 is about 8361.6948042846. The cubic root of 69917940 is about 411.9674228805.

The spelling of 69917940 in words is "sixty-nine million, nine hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 73 85 90 102 146 153 170 180 204 219 255 292 306 313 340 365 438 510 612 626 657 730 765 876 939 1020 1095 1241 1252 1314 1460 1530 1565 1878 2190 2482 2628 2817 3060 3130 3285 3723 3756 4380 4695 4964 5321 5634 6205 6260 6570 7446 9390 10642 11169 11268 12410 13140 14085 14892 15963 18615 18780 21284 22338 22849 24820 26605 28170 31926 37230 44676 45698 47889 53210 55845 56340 63852 68547 74460 79815 91396 95778 106420 111690 114245 137094 159630 191556 205641 223380 228490 239445 274188 319260 342735 388433 411282 456980 478890 685470 776866 822564 957780 1028205 1165299 1370940 1553732 1942165 2056410 2330598 3495897 3884330 4112820 4661196 5826495 6991794 7768660 11652990 13983588 17479485 23305980 34958970 69917940