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1530103440 = 243519347967
BaseRepresentation
bin101101100110011…
…1000011010010000
310221122011022022210
41123030320122100
511113201302230
6411455232120
752626443655
oct13314703220
93848138283
101530103440
117157813a8
12368518640
131b5002368
141072dbc2c
158e4e3eb0
hex5b338690

1530103440 has 160 divisors (see below), whose sum is σ = 5012536320. Its totient is φ = 385039872.

The previous prime is 1530103427. The next prime is 1530103453. The reversal of 1530103440 is 443010351.

It is an interprime number because it is at equal distance from previous prime (1530103427) and next prime (1530103453).

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, 1581837 + ... + 1582803.

It is an arithmetic number, because the mean of its divisors is an integer number (31328352).

Almost surely, 21530103440 is an apocalyptic number.

1530103440 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 1530103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506268160).

1530103440 is an abundant number, since it is smaller than the sum of its proper divisors (3482432880).

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

1530103440 is a wasteful number, since it uses less digits than its factorization.

1530103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1530103440 is about 39116.5366565088. The cubic root of 1530103440 is about 1152.3213199937.

Adding to 1530103440 its reverse (443010351), we get a palindrome (1973113791).

The spelling of 1530103440 in words is "one billion, five hundred thirty million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 347 380 456 570 694 760 912 967 1041 1140 1388 1520 1735 1934 2082 2280 2776 2901 3470 3868 4164 4560 4835 5205 5552 5802 6593 6940 7736 8328 9670 10410 11604 13186 13880 14505 15472 16656 18373 19340 19779 20820 23208 26372 27760 29010 32965 36746 38680 39558 41640 46416 52744 55119 58020 65930 73492 77360 79116 83280 91865 98895 105488 110238 116040 131860 146984 158232 183730 197790 220476 232080 263720 275595 293968 316464 335549 367460 395580 440952 527440 551190 671098 734920 791160 881904 1006647 1102380 1342196 1469840 1582320 1677745 2013294 2204760 2684392 3355490 4026588 4409520 5033235 5368784 6375431 6710980 8053176 10066470 12750862 13421960 16106352 19126293 20132940 25501724 26843920 31877155 38252586 40265880 51003448 63754310 76505172 80531760 95631465 102006896 127508620 153010344 191262930 255017240 306020688 382525860 510034480 765051720 1530103440