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147369040 = 24571331653
BaseRepresentation
bin10001100100010…
…10110001010000
3101021022010022121
420302022301100
5300211302130
622342344024
73436421230
oct1062126120
9337263277
10147369040
11762055a5
124142b014
13246ba520
1415801cc0
15ce0ed7a
hex8c8ac50

147369040 has 160 divisors (see below), whose sum is σ = 435972096. Its totient is φ = 45066240.

The previous prime is 147369037. The next prime is 147369043. The reversal of 147369040 is 40963741.

It is a happy number.

147369040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147369037) and next prime (147369043).

It is a junction number, because it is equal to n+sod(n) for n = 147368987 and 147369005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147369043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225354 + ... + 226006.

Almost surely, 2147369040 is an apocalyptic number.

147369040 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 147369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217986048).

147369040 is an abundant number, since it is smaller than the sum of its proper divisors (288603056).

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

147369040 is a wasteful number, since it uses less digits than its factorization.

147369040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 147369040 is about 12139.5650663440. The cubic root of 147369040 is about 528.2044853813.

The spelling of 147369040 in words is "one hundred forty-seven million, three hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 653 728 806 868 910 1040 1085 1240 1306 1456 1612 1736 1820 2015 2170 2480 2612 2821 3224 3265 3472 3640 4030 4340 4571 5224 5642 6448 6530 7280 8060 8489 8680 9142 10448 11284 13060 14105 16120 16978 17360 18284 20243 22568 22855 26120 28210 32240 33956 36568 40486 42445 45136 45710 52240 56420 59423 67912 73136 80972 84890 91420 101215 112840 118846 135824 141701 161944 169780 182840 202430 225680 237692 263159 283402 297115 323888 339560 365680 404860 475384 526318 566804 594230 679120 708505 809720 950768 1052636 1133608 1188460 1315795 1417010 1619440 1842113 2105272 2267216 2376920 2631590 2834020 3684226 4210544 4753840 5263180 5668040 7368452 9210565 10526360 11336080 14736904 18421130 21052720 29473808 36842260 73684520 147369040