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70742016 = 2123219101
BaseRepresentation
bin1000011011101…
…11000000000000
311221010001210200
410031313000000
5121102221031
611004125200
71516203642
oct415670000
9157101720
1070742016
1136a28584
121b836800
131186b4a7
149576892
1563258e6
hex4377000

70742016 has 156 divisors (see below), whose sum is σ = 217225320. Its totient is φ = 22118400.

The previous prime is 70741987. The next prime is 70742033. The reversal of 70742016 is 61024707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700366 + ... + 700466.

It is an arithmetic number, because the mean of its divisors is an integer number (1392470).

Almost surely, 270742016 is an apocalyptic number.

70742016 is a gapful number since it is divisible by the number (76) 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 70742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108612660).

70742016 is an abundant number, since it is smaller than the sum of its proper divisors (146483304).

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

70742016 is a wasteful number, since it uses less digits than its factorization.

70742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 70742016 is about 8410.8273077029. The cubic root of 70742016 is about 413.5796335251.

The spelling of 70742016 in words is "seventy million, seven hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 101 114 128 144 152 171 192 202 228 256 288 303 304 342 384 404 456 512 576 606 608 684 768 808 909 912 1024 1152 1212 1216 1368 1536 1616 1818 1824 1919 2048 2304 2424 2432 2736 3072 3232 3636 3648 3838 4096 4608 4848 4864 5472 5757 6144 6464 7272 7296 7676 9216 9696 9728 10944 11514 12288 12928 14544 14592 15352 17271 18432 19392 19456 21888 23028 25856 29088 29184 30704 34542 36864 38784 38912 43776 46056 51712 58176 58368 61408 69084 77568 77824 87552 92112 103424 116352 116736 122816 138168 155136 175104 184224 206848 232704 233472 245632 276336 310272 350208 368448 413696 465408 491264 552672 620544 700416 736896 930816 982528 1105344 1241088 1473792 1861632 1965056 2210688 2947584 3723264 3930112 4421376 5895168 7860224 8842752 11790336 17685504 23580672 35371008 70742016