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70680064 = 297133741
BaseRepresentation
bin1000011011001…
…11111000000000
311220222220211011
410031213320000
5121043230224
611002530304
71515525220
oct415477000
9156886734
1070680064
1136995a84
121b806994
1311849230
14955c080
156312394
hex4367e00

70680064 has 160 divisors (see below), whose sum is σ = 182863296. Its totient is φ = 26542080.

The previous prime is 70680041. The next prime is 70680091. The reversal of 70680064 is 46008607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1723884 + ... + 1723924.

Almost surely, 270680064 is an apocalyptic number.

70680064 is a gapful number since it is divisible by the number (74) 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 70680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91431648).

70680064 is an abundant number, since it is smaller than the sum of its proper divisors (112183232).

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

70680064 is a wasteful number, since it uses less digits than its factorization.

70680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 70680064 is about 8407.1436290812. The cubic root of 70680064 is about 413.4588681015.

The spelling of 70680064 in words is "seventy million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 41 52 56 64 74 82 91 104 112 128 148 164 182 208 224 256 259 287 296 328 364 416 448 481 512 518 533 574 592 656 728 832 896 962 1036 1066 1148 1184 1312 1456 1517 1664 1792 1924 2072 2132 2296 2368 2624 2912 3034 3328 3367 3584 3731 3848 4144 4264 4592 4736 5248 5824 6068 6656 6734 7462 7696 8288 8528 9184 9472 10496 10619 11648 12136 13468 14924 15392 16576 17056 18368 18944 19721 20992 21238 23296 24272 26936 29848 30784 33152 34112 36736 39442 42476 46592 48544 53872 59696 61568 66304 68224 73472 78884 84952 97088 107744 119392 123136 132608 136448 138047 146944 157768 169904 194176 215488 238784 246272 272896 276094 315536 339808 388352 430976 477568 552188 631072 679616 776704 861952 955136 1104376 1262144 1359232 1723904 1910272 2208752 2524288 2718464 4417504 5048576 5436928 8835008 10097152 17670016 35340032 70680064