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10302302640 = 243576539391
BaseRepresentation
bin10011001100001000…
…01010100110110000
3222120222121012101110
421212010022212300
5132044342141030
64422142033320
7513205061520
oct114604124660
928528535343
1010302302640
114407421503
121bb6278840
13c82513386
146da375680
154046c41b0
hex26610a9b0

10302302640 has 160 divisors (see below), whose sum is σ = 36559374336. Its totient is φ = 2350955520.

The previous prime is 10302302639. The next prime is 10302302713. The reversal of 10302302640 is 4620320301.

It is a happy number.

It is a super-2 number, since 2×103023026402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1092345 + ... + 1101735.

Almost surely, 210302302640 is an apocalyptic number.

10302302640 is a gapful number since it is divisible by the number (10) 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 10302302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279687168).

10302302640 is an abundant number, since it is smaller than the sum of its proper divisors (26257071696).

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

10302302640 is a wasteful number, since it uses less digits than its factorization.

10302302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10302302640 its reverse (4620320301), we get a palindrome (14922622941).

The spelling of 10302302640 in words is "ten billion, three hundred two million, three hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 653 840 1306 1680 1959 2612 3265 3918 4571 5224 6530 7836 9142 9391 9795 10448 13060 13713 15672 18284 18782 19590 22855 26120 27426 28173 31344 36568 37564 39180 45710 46955 52240 54852 56346 65737 68565 73136 75128 78360 91420 93910 109704 112692 131474 137130 140865 150256 156720 182840 187820 197211 219408 225384 262948 274260 281730 328685 365680 375640 394422 450768 525896 548520 563460 657370 751280 788844 986055 1051792 1097040 1126920 1314740 1577688 1972110 2253840 2629480 3155376 3944220 5258960 6132323 7888440 12264646 15776880 18396969 24529292 30661615 36793938 42926261 49058584 61323230 73587876 85852522 91984845 98117168 122646460 128778783 147175752 171705044 183969690 214631305 245292920 257557566 294351504 343410088 367939380 429262610 490585840 515115132 643893915 686820176 735878760 858525220 1030230264 1287787830 1471757520 1717050440 2060460528 2575575660 3434100880 5151151320 10302302640