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70979440 = 2457219953
BaseRepresentation
bin1000011101100…
…00111101110000
311221120010111011
410032300331300
5121132320230
611013200304
71521213100
oct416607560
9157503434
1070979440
113707a9a4
121b930094
131192258c
1495d9200
156370e2a
hex43b0f70

70979440 has 120 divisors (see below), whose sum is σ = 202286160. Its totient is φ = 23030784.

The previous prime is 70979423. The next prime is 70979479. The reversal of 70979440 is 4497907.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 70979393 and 70979402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74004 + ... + 74956.

It is an arithmetic number, because the mean of its divisors is an integer number (1685718).

Almost surely, 270979440 is an apocalyptic number.

70979440 is a gapful number since it is divisible by the number (70) 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 70979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101143080).

70979440 is an abundant number, since it is smaller than the sum of its proper divisors (131306720).

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

70979440 is a wasteful number, since it uses less digits than its factorization.

70979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 70979440 is about 8424.9296732970. The cubic root of 70979440 is about 414.0418015000.

The spelling of 70979440 in words is "seventy million, nine hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 953 980 1064 1330 1520 1862 1906 1960 2128 2660 3724 3812 3920 4655 4765 5320 6671 7448 7624 9310 9530 10640 13342 14896 15248 18107 18620 19060 26684 33355 36214 37240 38120 46697 53368 66710 72428 74480 76240 90535 93394 106736 126749 133420 144856 181070 186788 233485 253498 266840 289712 362140 373576 466970 506996 533680 633745 724280 747152 887243 933940 1013992 1267490 1448560 1774486 1867880 2027984 2534980 3548972 3735760 4436215 5069960 7097944 8872430 10139920 14195888 17744860 35489720 70979440