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140967936 = 21632239
BaseRepresentation
bin10000110011100…
…00000000000000
3100211020220122200
420121300000000
5242041433221
621553233200
73331131144
oct1031600000
9324226580
10140967936
117263332a
123b262800
1323288aa5
1414a17224
15c598426
hex8670000

140967936 has 102 divisors (see below), whose sum is σ = 408941520. Its totient is φ = 46792704.

The previous prime is 140967923. The next prime is 140967971. The reversal of 140967936 is 639769041.

It is a junction number, because it is equal to n+sod(n) for n = 140967891 and 140967900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589705 + ... + 589943.

Almost surely, 2140967936 is an apocalyptic number.

140967936 is a gapful number since it is divisible by the number (16) 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 140967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204470760).

140967936 is an abundant number, since it is smaller than the sum of its proper divisors (267973584).

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

140967936 is an frugal number, since it uses more digits than its factorization.

140967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 140967936 is about 11872.9918723126. The cubic root of 140967936 is about 520.4433300149.

The spelling of 140967936 in words is "one hundred forty million, nine hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1024 1152 1434 1536 1912 2048 2151 2304 2868 3072 3824 4096 4302 4608 5736 6144 7648 8192 8604 9216 11472 12288 15296 16384 17208 18432 22944 24576 30592 32768 34416 36864 45888 49152 61184 65536 68832 73728 91776 98304 122368 137664 147456 183552 196608 244736 275328 294912 367104 489472 550656 589824 734208 978944 1101312 1468416 1957888 2202624 2936832 3915776 4405248 5873664 7831552 8810496 11747328 15663104 17620992 23494656 35241984 46989312 70483968 140967936