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70769664 = 2103271097
BaseRepresentation
bin1000011011111…
…01110000000000
311221011110201200
410031331300000
5121104112124
611004501200
71516350360
oct415756000
9157143650
1070769664
1136a47329
121b84a800
131187ac54
1495829a0
15632dbc9
hex437dc00

70769664 has 132 divisors (see below), whose sum is σ = 233751024. Its totient is φ = 20201472.

The previous prime is 70769581. The next prime is 70769669. The reversal of 70769664 is 46696707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70769669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63964 + ... + 65060.

Almost surely, 270769664 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 70769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116875512).

70769664 is an abundant number, since it is smaller than the sum of its proper divisors (162981360).

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

70769664 is a wasteful number, since it uses less digits than its factorization.

70769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 70769664 is about 8412.4707428912. The cubic root of 70769664 is about 413.6335060844.

The spelling of 70769664 in words is "seventy million, seven hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1097 1152 1344 1536 1792 2016 2194 2304 2688 3072 3291 3584 4032 4388 4608 5376 6582 7168 7679 8064 8776 9216 9873 10752 13164 15358 16128 17552 19746 21504 23037 26328 30716 32256 35104 39492 46074 52656 61432 64512 69111 70208 78984 92148 105312 122864 138222 140416 157968 184296 210624 245728 276444 280832 315936 368592 421248 491456 552888 561664 631872 737184 842496 982912 1105776 1123328 1263744 1474368 1684992 1965824 2211552 2527488 2948736 3369984 3931648 4423104 5054976 5897472 7863296 8846208 10109952 11794944 17692416 23589888 35384832 70769664