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10432406040 = 2335737335663
BaseRepresentation
bin10011011011101000…
…11110001000011000
3222221001102010200220
421231310132020120
5132331143443130
64443110400040
7516344662650
oct115564361030
928831363626
1010432406040
114473904081
122031960020
13ca3466c34
1470d761360
15410d23410
hex26dd1e218

10432406040 has 128 divisors (see below), whose sum is σ = 36735068160. Its totient is φ = 2320095744.

The previous prime is 10432406027. The next prime is 10432406081. The reversal of 10432406040 is 4060423401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10432406040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136752 + ... + 198911.

It is an arithmetic number, because the mean of its divisors is an integer number (286992720).

Almost surely, 210432406040 is an apocalyptic number.

10432406040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432406040 is an abundant number, since it is smaller than the sum of its proper divisors (26302662120).

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

10432406040 is a wasteful number, since it uses less digits than its factorization.

10432406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335721 (or 335717 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10432406040 its reverse (4060423401), we get a palindrome (14492829441).

The spelling of 10432406040 in words is "ten billion, four hundred thirty-two million, four hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 335663 671326 1006989 1342652 1678315 2013978 2349641 2685304 3356630 4027956 4699282 5034945 6713260 7048923 8055912 9398564 10069890 11748205 12419531 13426520 14097846 18797128 20139780 23496410 24839062 28195692 35244615 37258593 40279560 46992820 49678124 56391384 62097655 70489230 74517186 86936717 93985640 99356248 124195310 140978460 149034372 173873434 186292965 248390620 260810151 281956920 298068744 347746868 372585930 434683585 496781240 521620302 695493736 745171860 869367170 1043240604 1304050755 1490343720 1738734340 2086481208 2608101510 3477468680 5216203020 10432406040