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147094960 = 24519294771
BaseRepresentation
bin10001100010001…
…11110110110000
3101020210012100111
420301013312300
5300124014320
622332431104
73434200165
oct1061076660
9336705314
10147094960
1176038691
1241318494
132462284c
141577006c
15cda8a5a
hex8c47db0

147094960 has 160 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 51932160.

The previous prime is 147094957. The next prime is 147094967. The reversal of 147094960 is 69490741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (147094967) by changing a digit.

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, 2071725 + ... + 2071795.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2147094960 is an apocalyptic number.

147094960 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 147094960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

147094960 is an abundant number, since it is smaller than the sum of its proper divisors (238594640).

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

147094960 is a wasteful number, since it uses less digits than its factorization.

147094960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 147094960 is about 12128.2711051493. The cubic root of 147094960 is about 527.8768269461.

The spelling of 147094960 in words is "one hundred forty-seven million, ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 47 58 71 76 80 94 95 116 142 145 152 188 190 232 235 284 290 304 355 376 380 464 470 551 568 580 710 752 760 893 940 1102 1136 1160 1349 1363 1420 1520 1786 1880 2059 2204 2320 2698 2726 2755 2840 3337 3572 3760 4118 4408 4465 5396 5452 5510 5680 6674 6745 6815 7144 8236 8816 8930 10295 10792 10904 11020 13348 13490 13630 14288 16472 16685 17860 20590 21584 21808 22040 25897 26696 26980 27260 32944 33370 35720 39121 41180 44080 51794 53392 53960 54520 63403 66740 71440 78242 82360 96773 103588 107920 109040 126806 129485 133480 156484 164720 193546 195605 207176 253612 258970 266960 312968 317015 387092 391210 414352 483865 507224 517940 625936 634030 774184 782420 967730 1014448 1035880 1268060 1548368 1564840 1838687 1935460 2071760 2536120 3129680 3677374 3870920 5072240 7354748 7741840 9193435 14709496 18386870 29418992 36773740 73547480 147094960